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Renormalizability of Alternative Theories of Gravity: Differences between Power Counting and Entropy Argument. UNIVERSE 2021. [DOI: 10.3390/universe7050148] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
It is well known that General Relativity cannot be considered under the standard of a perturbatively renormalizable quantum field theory, but asymptotic safety is taken into account as a possibility for the formulation of gravity as a non-perturbative renormalizable theory. Recently, the entropy argument has however stepped into the discussion claiming for a “no-go” to the asymptotic safety argument. In this paper, we present simple counter-examples, considering alternative theories of gravity, to the entropy argument as further indications, among others, on the possible flows in the assumptions on which the latter is based. We considered different theories, namely curvature-based extensions of General Relativity as f(R), f(G), extensions of teleparallel gravity as f(T), and Horava–Lifshitz gravity, working out the explicit spherically symmetric solutions in order to make a comparison between power counting and the entropy argument. Even in these cases, inconsistencies were found.
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Vieira RS, Schee J, Kluźniak W, Stuchlík Z, Abramowicz M. Circular geodesics of naked singularities in the Kehagias-Sfetsos metric of Hořava’s gravity. Int J Clin Exp Med 2014. [DOI: 10.1103/physrevd.90.024035] [Citation(s) in RCA: 37] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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A No-Go Theorem for Rotating Stars of a Perfect Fluid without Radial Motion in Projectable Hořava–Lifshitz Gravity. GALAXIES 2013. [DOI: 10.3390/galaxies1030261] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Muniz CR, Bezerra VB, Cunha MS. Hořava-Lifshitz gravity effects on Casimir energy in weak field approximation and infrared regime. Int J Clin Exp Med 2013. [DOI: 10.1103/physrevd.88.104035] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Paul BC, Thakur P, Saha A. Modified Chaplygin gas in Horava-Lifshitz gravity and constraints on itsBparameter. Int J Clin Exp Med 2012. [DOI: 10.1103/physrevd.85.024039] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Enolskii V, Hartmann B, Kagramanova V, Kunz J, Lämmerzahl C, Sirimachan P. Particle motion in Hořava-Lifshitz black hole space-times. Int J Clin Exp Med 2011. [DOI: 10.1103/physrevd.84.084011] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Abdujabbarov A, Ahmedov B, Ahmedov B. Energy extraction and particle acceleration around a rotating black hole in Hořava-Lifshitz gravity. Int J Clin Exp Med 2011. [DOI: 10.1103/physrevd.84.044044] [Citation(s) in RCA: 31] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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