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Abbott BP, Abbott R, Abbott TD, Abernathy MR, Acernese F, Ackley K, Adams C, Adams T, Addesso P, Adhikari RX, Adya VB, Affeldt C, Agathos M, Agatsuma K, Aggarwal N, Aguiar OD, Aiello L, Ain A, Ajith P, Allen B, Allocca A, Altin PA, Anderson SB, Anderson WG, Arai K, Arain MA, Araya MC, Arceneaux CC, Areeda JS, Arnaud N, Arun KG, Ascenzi S, Ashton G, Ast M, Aston SM, Astone P, Aufmuth P, Aulbert C, Babak S, Bacon P, Bader MKM, Baker PT, Baldaccini F, Ballardin G, Ballmer SW, Barayoga JC, Barclay SE, Barish BC, Barker D, Barone F, Barr B, Barsotti L, Barsuglia M, Barta D, Bartlett J, Barton MA, Bartos I, Bassiri R, Basti A, Batch JC, Baune C, Bavigadda V, Bazzan M, Behnke B, Bejger M, Belczynski C, Bell AS, Bell CJ, Berger BK, Bergman J, Bergmann G, Berry CPL, Bersanetti D, Bertolini A, Betzwieser J, Bhagwat S, Bhandare R, Bilenko IA, Billingsley G, Birch J, Birney R, Birnholtz O, Biscans S, Bisht A, Bitossi M, Biwer C, Bizouard MA, Blackburn JK, Blair CD, Blair DG, Blair RM, Bloemen S, Bock O, Bodiya TP, Boer M, Bogaert G, Bogan C, Bohe A, Bojtos P, Bond C, et alAbbott BP, Abbott R, Abbott TD, Abernathy MR, Acernese F, Ackley K, Adams C, Adams T, Addesso P, Adhikari RX, Adya VB, Affeldt C, Agathos M, Agatsuma K, Aggarwal N, Aguiar OD, Aiello L, Ain A, Ajith P, Allen B, Allocca A, Altin PA, Anderson SB, Anderson WG, Arai K, Arain MA, Araya MC, Arceneaux CC, Areeda JS, Arnaud N, Arun KG, Ascenzi S, Ashton G, Ast M, Aston SM, Astone P, Aufmuth P, Aulbert C, Babak S, Bacon P, Bader MKM, Baker PT, Baldaccini F, Ballardin G, Ballmer SW, Barayoga JC, Barclay SE, Barish BC, Barker D, Barone F, Barr B, Barsotti L, Barsuglia M, Barta D, Bartlett J, Barton MA, Bartos I, Bassiri R, Basti A, Batch JC, Baune C, Bavigadda V, Bazzan M, Behnke B, Bejger M, Belczynski C, Bell AS, Bell CJ, Berger BK, Bergman J, Bergmann G, Berry CPL, Bersanetti D, Bertolini A, Betzwieser J, Bhagwat S, Bhandare R, Bilenko IA, Billingsley G, Birch J, Birney R, Birnholtz O, Biscans S, Bisht A, Bitossi M, Biwer C, Bizouard MA, Blackburn JK, Blair CD, Blair DG, Blair RM, Bloemen S, Bock O, Bodiya TP, Boer M, Bogaert G, Bogan C, Bohe A, Bojtos P, Bond C, Bondu F, Bonnand R, Boom BA, Bork R, Boschi V, Bose S, Bouffanais Y, Bozzi A, Bradaschia C, Brady PR, Braginsky VB, Branchesi M, Brau JE, Briant T, Brillet A, Brinkmann M, Brisson V, Brockill P, Brooks AF, Brown DA, Brown DD, Brown NM, Buchanan CC, Buikema A, Bulik T, Bulten HJ, Buonanno A, Buskulic D, Buy C, Byer RL, Cabero M, Cadonati L, Cagnoli G, Cahillane C, Calderón Bustillo J, Callister T, Calloni E, Camp JB, Cannon KC, Cao J, Capano CD, Capocasa E, Carbognani F, Caride S, Casanueva Diaz J, Casentini C, Caudill S, Cavaglià M, Cavalier F, Cavalieri R, Cella G, Cepeda CB, Cerboni Baiardi L, Cerretani G, Cesarini E, Chakraborty R, Chalermsongsak T, Chamberlin SJ, Chan M, Chao S, Charlton P, Chassande-Mottin E, Chen HY, Chen Y, Cheng C, Chincarini A, Chiummo A, Cho HS, Cho M, Chow JH, Christensen N, Chu Q, Chua S, Chung S, Ciani G, Clara F, Clark JA, Cleva F, Coccia E, Cohadon PF, Colla A, Collette CG, Cominsky L, Constancio M, Conte A, Conti L, Cook D, Corbitt TR, Cornish N, Corsi A, Cortese S, Costa CA, Coughlin MW, Coughlin SB, Coulon JP, Countryman ST, Couvares P, Cowan EE, Coward DM, Cowart MJ, Coyne DC, Coyne R, Craig K, Creighton JDE, Creighton TD, Cripe J, Crowder SG, Cruise AM, Cumming A, Cunningham L, Cuoco E, Dal Canton T, Danilishin SL, D'Antonio S, Danzmann K, Darman NS, Da Silva Costa CF, Dattilo V, Dave I, Daveloza HP, Davier M, Davies GS, Daw EJ, Day R, De S, DeBra D, Debreczeni G, Degallaix J, De Laurentis M, Deléglise S, Del Pozzo W, Denker T, Dent T, Dereli H, Dergachev V, DeRosa RT, De Rosa R, DeSalvo R, Dhurandhar S, Díaz MC, Di Fiore L, Di Giovanni M, Di Lieto A, Di Pace S, Di Palma I, Di Virgilio A, Dojcinoski G, Dolique V, Donovan F, Dooley KL, Doravari S, Douglas R, Downes TP, Drago M, Drever RWP, Driggers JC, Du Z, Ducrot M, Dwyer SE, Edo TB, Edwards MC, Effler A, Eggenstein HB, Ehrens P, Eichholz J, Eikenberry SS, Engels W, Essick RC, Etzel T, Evans M, Evans TM, Everett R, Factourovich M, Fafone V, Fair H, Fairhurst S, Fan X, Fang Q, Farinon S, Farr B, Farr WM, Favata M, Fays M, Fehrmann H, Fejer MM, Feldbaum D, Ferrante I, Ferreira EC, Ferrini F, Fidecaro F, Finn LS, Fiori I, Fiorucci D, Fisher RP, Flaminio R, Fletcher M, Fong H, Fournier JD, Franco S, Frasca S, Frasconi F, Frede M, Frei Z, Freise A, Frey R, Frey V, Fricke TT, Fritschel P, Frolov VV, Fulda P, Fyffe M, Gabbard HAG, Gair JR, Gammaitoni L, Gaonkar SG, Garufi F, Gatto A, Gaur G, Gehrels N, Gemme G, Gendre B, Genin E, Gennai A, George J, Gergely L, Germain V, Ghosh A, Ghosh A, Ghosh S, Giaime JA, Giardina KD, Giazotto A, Gill K, Glaefke A, Gleason JR, Goetz E, Goetz R, Gondan L, González G, Gonzalez Castro JM, Gopakumar A, Gordon NA, Gorodetsky ML, Gossan SE, Gosselin M, Gouaty R, Graef C, Graff PB, Granata M, Grant A, Gras S, Gray C, Greco G, Green AC, Greenhalgh RJS, Groot P, Grote H, Grunewald S, Guidi GM, Guo X, Gupta A, Gupta MK, Gushwa KE, Gustafson EK, Gustafson R, Hacker JJ, Hall BR, Hall ED, Hammond G, Haney M, Hanke MM, Hanks J, Hanna C, Hannam MD, Hanson J, Hardwick T, Harms J, Harry GM, Harry IW, Hart MJ, Hartman MT, Haster CJ, Haughian K, Healy J, Heefner J, Heidmann A, Heintze MC, Heinzel G, Heitmann H, Hello P, Hemming G, Hendry M, Heng IS, Hennig J, Heptonstall AW, Heurs M, Hild S, Hoak D, Hodge KA, Hofman D, Hollitt SE, Holt K, Holz DE, Hopkins P, Hosken DJ, Hough J, Houston EA, Howell EJ, Hu YM, Huang S, Huerta EA, Huet D, Hughey B, Husa S, Huttner SH, Huynh-Dinh T, Idrisy A, Indik N, Ingram DR, Inta R, Isa HN, Isac JM, Isi M, Islas G, Isogai T, Iyer BR, Izumi K, Jacobson MB, Jacqmin T, Jang H, Jani K, Jaranowski P, Jawahar S, Jiménez-Forteza F, Johnson WW, Johnson-McDaniel NK, Jones DI, Jones R, Jonker RJG, Ju L, Haris K, Kalaghatgi CV, Kalogera V, Kandhasamy S, Kang G, Kanner JB, Karki S, Kasprzack M, Katsavounidis E, Katzman W, Kaufer S, Kaur T, Kawabe K, Kawazoe F, Kéfélian F, Kehl MS, Keitel D, Kelley DB, Kells W, Kennedy R, Keppel DG, Key JS, Khalaidovski A, Khalili FY, Khan I, Khan S, Khan Z, Khazanov EA, Kijbunchoo N, Kim C, Kim J, Kim K, Kim NG, Kim N, Kim YM, King EJ, King PJ, Kinzel DL, Kissel JS, Kleybolte L, Klimenko S, Koehlenbeck SM, Kokeyama K, Koley S, Kondrashov V, Kontos A, Koranda S, Korobko M, Korth WZ, Kowalska I, Kozak DB, Kringel V, Krishnan B, Królak A, Krueger C, Kuehn G, Kumar P, Kumar R, Kuo L, Kutynia A, Kwee P, Lackey BD, Landry M, Lange J, Lantz B, Lasky PD, Lazzarini A, Lazzaro C, Leaci P, Leavey S, Lebigot EO, Lee CH, Lee HK, Lee HM, Lee K, Lenon A, Leonardi M, Leong JR, Leroy N, Letendre N, Levin Y, Levine BM, Li TGF, Libson A, Littenberg TB, Lockerbie NA, Logue J, Lombardi AL, London LT, Lord JE, Lorenzini M, Loriette V, Lormand M, Losurdo G, Lough JD, Lousto CO, Lovelace G, Lück H, Lundgren AP, Luo J, Lynch R, Ma Y, MacDonald T, Machenschalk B, MacInnis M, Macleod DM, Magaña-Sandoval F, Magee RM, Mageswaran M, Majorana E, Maksimovic I, Malvezzi V, Man N, Mandel I, Mandic V, Mangano V, Mansell GL, Manske M, Mantovani M, Marchesoni F, Marion F, Márka S, Márka Z, Markosyan AS, Maros E, Martelli F, Martellini L, Martin IW, Martin RM, Martynov DV, Marx JN, Mason K, Masserot A, Massinger TJ, Masso-Reid M, Matichard F, Matone L, Mavalvala N, Mazumder N, Mazzolo G, McCarthy R, McClelland DE, McCormick S, McGuire SC, McIntyre G, McIver J, McManus DJ, McWilliams ST, Meacher D, Meadors GD, Meidam J, Melatos A, Mendell G, Mendoza-Gandara D, Mercer RA, Merilh E, Merzougui M, Meshkov S, Messenger C, Messick C, Meyers PM, Mezzani F, Miao H, Michel C, Middleton H, Mikhailov EE, Milano L, Miller J, Millhouse M, Minenkov Y, Ming J, Mirshekari S, Mishra C, Mitra S, Mitrofanov VP, Mitselmakher G, Mittleman R, Moggi A, Mohan M, Mohapatra SRP, Montani M, Moore BC, Moore CJ, Moraru D, Moreno G, Morriss SR, Mossavi K, Mours B, Mow-Lowry CM, Mueller CL, Mueller G, Muir AW, Mukherjee A, Mukherjee D, 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CS, Urban AL, Usman SA, Vahlbruch H, Vajente G, Valdes G, Vallisneri M, van Bakel N, van Beuzekom M, van den Brand JFJ, Van Den Broeck C, Vander-Hyde DC, van der Schaaf L, van Heijningen JV, van Veggel AA, Vardaro M, Vass S, Vasúth M, Vaulin R, Vecchio A, Vedovato G, Veitch J, Veitch PJ, Venkateswara K, Verkindt D, Vetrano F, Viceré A, Vinciguerra S, Vine DJ, Vinet JY, Vitale S, Vo T, Vocca H, Vorvick C, Voss D, Vousden WD, Vyatchanin SP, Wade AR, Wade LE, Wade M, Waldman SJ, Walker M, Wallace L, Walsh S, Wang G, Wang H, Wang M, Wang X, Wang Y, Ward H, Ward RL, Warner J, Was M, Weaver B, Wei LW, Weinert M, Weinstein AJ, Weiss R, Welborn T, Wen L, Weßels P, Westphal T, Wette K, Whelan JT, Whitcomb SE, White DJ, Whiting BF, Wiesner K, Wilkinson C, Willems PA, Williams L, Williams RD, Williamson AR, Willis JL, Willke B, Wimmer MH, Winkelmann L, Winkler W, Wipf CC, Wiseman AG, Wittel H, Woan G, Worden J, Wright JL, Wu G, Yablon J, Yakushin I, Yam W, Yamamoto H, Yancey CC, Yap MJ, Yu H, Yvert M, Zadrożny A, Zangrando L, Zanolin M, Zendri JP, Zevin M, Zhang F, Zhang L, Zhang M, Zhang Y, Zhao C, Zhou M, Zhou Z, Zhu XJ, Zucker ME, Zuraw SE, Zweizig J. Observation of Gravitational Waves from a Binary Black Hole Merger. PHYSICAL REVIEW LETTERS 2016; 116:061102. [PMID: 26918975 DOI: 10.1103/physrevlett.116.061102] [Show More Authors] [Citation(s) in RCA: 1442] [Impact Index Per Article: 160.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/21/2016] [Indexed: 05/04/2023]
Abstract
On September 14, 2015 at 09:50:45 UTC the two detectors of the Laser Interferometer Gravitational-Wave Observatory simultaneously observed a transient gravitational-wave signal. The signal sweeps upwards in frequency from 35 to 250 Hz with a peak gravitational-wave strain of 1.0×10(-21). It matches the waveform predicted by general relativity for the inspiral and merger of a pair of black holes and the ringdown of the resulting single black hole. The signal was observed with a matched-filter signal-to-noise ratio of 24 and a false alarm rate estimated to be less than 1 event per 203,000 years, equivalent to a significance greater than 5.1σ. The source lies at a luminosity distance of 410(-180)(+160) Mpc corresponding to a redshift z=0.09(-0.04)(+0.03). In the source frame, the initial black hole masses are 36(-4)(+5)M⊙ and 29(-4)(+4)M⊙, and the final black hole mass is 62(-4)(+4)M⊙, with 3.0(-0.5)(+0.5)M⊙c(2) radiated in gravitational waves. All uncertainties define 90% credible intervals. These observations demonstrate the existence of binary stellar-mass black hole systems. This is the first direct detection of gravitational waves and the first observation of a binary black hole merger.
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Abbott BP, Abbott R, Abbott TD, Abernathy MR, Acernese F, Ackley K, Adams C, Adams T, Addesso P, Adhikari RX, Adya VB, Affeldt C, Agathos M, Agatsuma K, Aggarwal N, Aguiar OD, Aiello L, Ain A, Ajith P, Allen B, Allocca A, Altin PA, Anderson SB, Anderson WG, Arai K, Araya MC, Arceneaux CC, Areeda JS, Arnaud N, Arun KG, Ascenzi S, Ashton G, Ast M, Aston SM, Astone P, Aufmuth P, Aulbert C, Babak S, Bacon P, Bader MKM, Baker PT, Baldaccini F, Ballardin G, Ballmer SW, Barayoga JC, Barclay SE, Barish BC, Barker D, Barone F, Barr B, Barsotti L, Barsuglia M, Barta D, Bartlett J, Bartos I, Bassiri R, Basti A, Batch JC, Baune C, Bavigadda V, Bazzan M, Behnke B, Bejger M, Bell AS, Bell CJ, Berger BK, Bergman J, Bergmann G, Berry CPL, Bersanetti D, Bertolini A, Betzwieser J, Bhagwat S, Bhandare R, Bilenko IA, Billingsley G, Birch J, Birney R, Birnholtz O, Biscans S, Bisht A, Bitossi M, Biwer C, Bizouard MA, Blackburn JK, Blair CD, Blair DG, Blair RM, Bloemen S, Bock O, Bodiya TP, Boer M, Bogaert G, Bogan C, Bohe A, Bojtos P, Bond C, Bondu F, Bonnand R, Boom BA, et alAbbott BP, Abbott R, Abbott TD, Abernathy MR, Acernese F, Ackley K, Adams C, Adams T, Addesso P, Adhikari RX, Adya VB, Affeldt C, Agathos M, Agatsuma K, Aggarwal N, Aguiar OD, Aiello L, Ain A, Ajith P, Allen B, Allocca A, Altin PA, Anderson SB, Anderson WG, Arai K, Araya MC, Arceneaux CC, Areeda JS, Arnaud N, Arun KG, Ascenzi S, Ashton G, Ast M, Aston SM, Astone P, Aufmuth P, Aulbert C, Babak S, Bacon P, Bader MKM, Baker PT, Baldaccini F, Ballardin G, Ballmer SW, Barayoga JC, Barclay SE, Barish BC, Barker D, Barone F, Barr B, Barsotti L, Barsuglia M, Barta D, Bartlett J, Bartos I, Bassiri R, Basti A, Batch JC, Baune C, Bavigadda V, Bazzan M, Behnke B, Bejger M, Bell AS, Bell CJ, Berger BK, Bergman J, Bergmann G, Berry CPL, Bersanetti D, Bertolini A, Betzwieser J, Bhagwat S, Bhandare R, Bilenko IA, Billingsley G, Birch J, Birney R, Birnholtz O, Biscans S, Bisht A, Bitossi M, Biwer C, Bizouard MA, Blackburn JK, Blair CD, Blair DG, Blair RM, Bloemen S, Bock O, Bodiya TP, Boer M, Bogaert G, Bogan C, Bohe A, Bojtos P, Bond C, Bondu F, Bonnand R, Boom BA, Bork R, Boschi V, Bose S, Bouffanais Y, Bozzi A, Bradaschia C, Brady PR, Braginsky VB, Branchesi M, Brau JE, Briant T, Brillet A, Brinkmann M, Brisson V, Brockill P, Brooks AF, Brown DA, Brown DD, Brown NM, Buchanan CC, Buikema A, Bulik T, Bulten HJ, Buonanno A, Buskulic D, Buy C, Byer RL, Cadonati L, Cagnoli G, Cahillane C, Calderón Bustillo J, Callister T, Calloni E, Camp JB, Cannon KC, Cao J, Capano CD, Capocasa E, Carbognani F, Caride S, Casanueva Diaz J, Casentini C, Caudill S, Cavaglià M, Cavalier F, Cavalieri R, Cella G, Cepeda CB, Cerboni Baiardi L, Cerretani G, Cesarini E, Chakraborty R, Chalermsongsak T, Chamberlin SJ, Chan M, Chao S, Charlton P, Chassande-Mottin E, Chen HY, Chen Y, Cheng C, Chincarini A, Chiummo A, Cho HS, Cho M, Chow JH, Christensen N, Chu Q, Chua S, Chung S, Ciani G, Clara F, Clark JA, Cleva F, Coccia E, Cohadon PF, Colla A, Collette CG, Cominsky L, Constancio M, Conte A, Conti L, Cook D, Corbitt TR, Cornish N, Corsi A, Cortese S, Costa CA, Coughlin MW, Coughlin SB, Coulon JP, Countryman ST, Couvares P, Cowan EE, Coward DM, Cowart MJ, Coyne DC, Coyne R, Craig K, Creighton JDE, Cripe J, Crowder SG, Cumming A, Cunningham L, Cuoco E, Dal Canton T, Danilishin SL, D'Antonio S, Danzmann K, Darman NS, Dattilo V, Dave I, Daveloza HP, Davier M, Davies GS, Daw EJ, Day R, DeBra D, Debreczeni G, Degallaix J, De Laurentis M, Deléglise S, Del Pozzo W, Denker T, Dent T, Dereli H, Dergachev V, De Rosa R, DeRosa RT, DeSalvo R, Dhurandhar S, Díaz MC, Di Fiore L, Di Giovanni M, Di Lieto A, Di Pace S, Di Palma I, Di Virgilio A, Dojcinoski G, Dolique V, Donovan F, Dooley KL, Doravari S, Douglas R, Downes TP, Drago M, Drever RWP, Driggers JC, Du Z, Ducrot M, Dwyer SE, Edo TB, Edwards MC, Effler A, Eggenstein HB, Ehrens P, Eichholz J, Eikenberry SS, Engels W, Essick RC, Etzel T, Evans M, Evans TM, Everett R, Factourovich M, Fafone V, Fair H, Fairhurst S, Fan X, Fang Q, Farinon S, Farr B, Farr WM, Favata M, Fays M, Fehrmann H, Fejer MM, Ferrante I, Ferreira EC, Ferrini F, Fidecaro F, Fiori I, Fiorucci D, Fisher RP, Flaminio R, Fletcher M, Fournier JD, Franco S, Frasca S, Frasconi F, Frei Z, Freise A, Frey R, Frey V, Fricke TT, Fritschel P, Frolov VV, Fulda P, Fyffe M, Gabbard HAG, Gair JR, Gammaitoni L, Gaonkar SG, Garufi F, Gatto A, Gaur G, Gehrels N, Gemme G, Gendre B, Genin E, Gennai A, George J, Gergely L, Germain V, Ghosh A, Ghosh A, Ghosh S, Giaime JA, Giardina KD, Giazotto A, Gill K, Glaefke A, Goetz E, Goetz R, Gondan L, González G, Gonzalez Castro JM, Gopakumar A, Gordon NA, Gorodetsky ML, Gossan SE, Gosselin M, Gouaty R, Graef C, Graff PB, Granata M, Grant A, Gras S, Gray C, Greco G, Green AC, Groot P, Grote H, Grunewald S, Guidi GM, Guo X, Gupta A, Gupta MK, Gushwa KE, Gustafson EK, Gustafson R, Hacker JJ, Hall BR, Hall ED, Hammond G, Haney M, Hanke MM, Hanks J, Hanna C, Hannam MD, Hanson J, Hardwick T, Harms J, Harry GM, Harry IW, Hart MJ, Hartman MT, Haster CJ, Haughian K, Healy J, Heidmann A, Heintze MC, Heitmann H, Hello P, Hemming G, Hendry M, Heng IS, Hennig J, Heptonstall AW, Heurs M, Hild S, Hoak D, Hodge KA, Hofman D, Hollitt SE, Holt K, Holz DE, Hopkins P, Hosken DJ, Hough J, Houston EA, Howell EJ, Hu YM, Huang S, Huerta EA, Huet D, Hughey B, Husa S, Huttner SH, Huynh-Dinh T, Idrisy A, Indik N, Ingram DR, Inta R, Isa HN, Isac JM, Isi M, Islas G, Isogai T, Iyer BR, Izumi K, Jacqmin T, Jang H, Jani K, Jaranowski P, Jawahar S, Jiménez-Forteza F, Johnson WW, Johnson-McDaniel NK, Jones DI, Jones R, Jonker RJG, Ju L, Haris MK, Kalaghatgi CV, Kalogera V, Kandhasamy S, Kang G, Kanner JB, Karki S, Kasprzack M, Katsavounidis E, Katzman W, Kaufer S, Kaur T, Kawabe K, Kawazoe F, Kéfélian F, Kehl MS, Keitel D, Kelley DB, Kells W, Kennedy R, Key JS, Khalaidovski A, Khalili FY, Khan I, Khan S, Khan Z, Khazanov EA, Kijbunchoo N, Kim C, Kim J, Kim K, Kim NG, Kim N, Kim YM, King 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Tests of General Relativity with GW150914. PHYSICAL REVIEW LETTERS 2016; 116:221101. [PMID: 27314708 DOI: 10.1103/physrevlett.116.221101] [Show More Authors] [Citation(s) in RCA: 188] [Impact Index Per Article: 20.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2016] [Indexed: 05/27/2023]
Abstract
The LIGO detection of GW150914 provides an unprecedented opportunity to study the two-body motion of a compact-object binary in the large-velocity, highly nonlinear regime, and to witness the final merger of the binary and the excitation of uniquely relativistic modes of the gravitational field. We carry out several investigations to determine whether GW150914 is consistent with a binary black-hole merger in general relativity. We find that the final remnant's mass and spin, as determined from the low-frequency (inspiral) and high-frequency (postinspiral) phases of the signal, are mutually consistent with the binary black-hole solution in general relativity. Furthermore, the data following the peak of GW150914 are consistent with the least-damped quasinormal mode inferred from the mass and spin of the remnant black hole. By using waveform models that allow for parametrized general-relativity violations during the inspiral and merger phases, we perform quantitative tests on the gravitational-wave phase in the dynamical regime and we determine the first empirical bounds on several high-order post-Newtonian coefficients. We constrain the graviton Compton wavelength, assuming that gravitons are dispersed in vacuum in the same way as particles with mass, obtaining a 90%-confidence lower bound of 10^{13} km. In conclusion, within our statistical uncertainties, we find no evidence for violations of general relativity in the genuinely strong-field regime of gravity.
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