Localization of nonlocal theories

In this paper, we study non-local F (R)-mimetic gravity. We implement mimetic gravity in the framework of non-local F (R)-theories of gravity. Given some specific class of models and using a potential on the mimetic field, we investigate some scenarios related to the early-time universe, namely the inflation and the cosmological bounce, which bring to Einstein's gravity with cold dark matter at the late-time.

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“…[9,10] and the initial conditions problem is investigated in Ref. [11]. Generalized non-local F (R)-gravity was proposed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Non-local F ( R ) $F(R)$ -mimetic gravity

Myrzakulov

Sebastiani

2016

Astrophys Space Sci

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“…The most general D-dimensional theory weakly non-local (or quasi-local) and quadratic in the Riemann curvature reads [9][10][11][12][13][14][15][16][17][18][19][20][21][22][49][50][51],…”

Section: General Theorymentioning

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%

“…In fact, the surface term of the effective action, which gives the area term of the conical entropy, will in general receive UV-divergent contributions which are gauge dependent and negative (in particular from gauge vector bosons and gravitons [8]). However, in the context of super-renormalizable gravitational theories [9][10][11][12][13][14][15][16][17][18][19][20][21][22], the beta functions are known to be gauge independent and furthermore they are completely determined at one loop [23]. On top of this, it has been explicitly shown in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…In section II we briefly introduce a class of weakly non-local theories of gravity, which are unitary (ghost-free) and perturbatively super-renormalizable or finite in the quantum field theory framework [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. At classical level evidences endorse that we are dealing with "singularity-free gravitational " the-ories [33][34][35][36][37][38][39][40][41] (see also the recent papers [42,43]).…”

Section: Introductionmentioning

confidence: 99%

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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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