Consistent higher derivative gravitational theories with stable de Sitter and anti–de Sitter backgrounds

Biswas, Tirthabir; Koshelev, Alexey S.; Mazumdar, Anupam

doi:10.1103/physrevd.95.043533

Cited by 106 publications

(169 citation statements)

References 102 publications

(147 reference statements)

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“…The full non-linear equations of motion were computed in [17] and the boundary terms found in [18]. The gravitational entropy for the IDG action was investigated around an (A)dS metric in [19], while the form of the (A)dS propagator was given in [20]. Constraints were put on the mass scale M of IDG, either by using data on the tensorscalar ratio and spectral tilt of the Cosmic Microwave Background [21], or by looking at the deflection of light around the Sun [22].…”

Section: Introductionmentioning

confidence: 99%

Newtonian potential and geodesic completeness in infinite derivative gravity

Edholm

Conroy

2017

Phys. Rev. D

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Recent study has shown that a non-singular oscillating potential -a feature of Infinite Derivative Gravity (IDG) theories -matches current experimental data better than the standard GR potential. In this work we show that this non-singular oscillating potential can be given by a wider class of theories which allows the defocusing of null rays, and therefore geodesic completeness. We consolidate the conditions whereby null geodesic congruences may be made past-complete, via the Raychaudhuri Equation, with the requirement of a non-singular Newtonian potential in an IDG theory. In doing so, we examine a class of Newtonian potentials characterised by an additional degree of freedom in the scalar propagator, which returns the familiar potential of General Relativity at large distances.

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Section: Introductionmentioning

confidence: 99%

Newtonian potential and geodesic completeness in infinite derivative gravity

Edholm

Conroy

2017

Phys. Rev. D

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“…As we noticed above, the cancellation of some beta functions is actually automatically valid for perturbations of gravity around a background that is a classical solution of (9) (in particular a Ricci-flat one). It is also possible to generalize this analysis to the case when a cosmological constant term λ is included (see [57][58][59]). …”

Section: Divergences In Dimensional Regularization Schemementioning

confidence: 99%

“…The detailed reference about unitarity, superrenormalizability, and UV-finiteness issues in non-local theories around the Minkowski spacetime can be found in [9][10][11][12][13][14][15][16][17][18][19][20][21][22]49,50]. Moreover, recently it has been proved that a slight modification of the theory is stable around any maximally symmetric spacetime [57][58][59].…”

Section: General Theorymentioning

confidence: 99%

Finite entanglement entropy of black holes

et al. 2018

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We compute the area term contribution to black holes' entanglement entropy (using the conical technique) for a class of local or weakly non-local super-renormalizable gravitational theories coupled to matter. For the first time, we explicitly prove that all the beta functions in the proposed theory, except for the cosmological constant, are identically zero in cut-off regularization scheme and not only in dimensional regularization scheme. In particular, we show that there is no divergence quadratic in cut-off and hence there is no contribution to the beta function of the Newton constant. As a consequence of this result, we argue that in these theories of gravity conical entropy is a sensible definition of physical entropy, in particular, it is positive-definite and gauge independent. On top of this the conical entropy, being expressed only in terms of the classical Newton constant, turns out to be finite and naturally coincides with Bekenstein-Hawking entropy. Finally, we propose a theory in which the renormalization of the Newton constant is entirely due to the Standard Model matter, arguing that such a contribution does not give the usual interpretational problems of conical entropy discussed in the literature.

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“…The most general torsion-free, parity-invariant and quadratic covariant action that contains an infinite number of derivatives has been constructed around constant curvature backgrounds, and reads [5,[21][22][23]:…”

Section: Infinite Derivative Ghost-free and Singularity-free Gravitymentioning

confidence: 99%

Quantum spreading of a self-gravitating wave-packet in singularity free gravity

2018

Self Cite

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In this paper we will study for the first time how the wave-packet of a self-gravitating meso-scopic system spreads in theories beyond Einstein's general relativity. In particular, we will consider a ghost-free infinite derivative gravity, which resolves the 1/r singularity in the potential -such that the gradient of the potential vanishes within the scale of non-locality. We will show that a quantum wavepacket spreads faster for a ghost-free and singularity-free gravity as compared to the Newtonian case, therefore providing us a unique scenario for testing classical and quantum properties of short-distance gravity in a laboratory in the near future.

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Consistent higher derivative gravitational theories with stable de Sitter and anti–de Sitter backgrounds

Cited by 106 publications

References 102 publications

Newtonian potential and geodesic completeness in infinite derivative gravity

Newtonian potential and geodesic completeness in infinite derivative gravity

Finite entanglement entropy of black holes

Quantum spreading of a self-gravitating wave-packet in singularity free gravity

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