Generalized ghost-free quadratic curvature gravity

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

doi:10.1088/0264-9381/31/1/015022

Cited by 190 publications

(187 citation statements)

References 37 publications

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“…(2.6)-(2.11) define the BGKM gravity models. The classical equations of motion have been studied for the above action [49], and shown to be free from black-hole type of singularities for "small" central masses. In this paper therefore, we take the next logical step of investigating the quantum UV behavior of these theories.…”

Section: Infinite-derivative Gravitational Actionmentioning

confidence: 99%

Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

Talaganis

Biswas

Mazumdar

2015

Class. Quantum Grav.

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140

252

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In this paper we will consider quantum aspects of a non-local, infinitederivative scalar field theory -a toy model depiction of a covariant infinitederivative, non-local extension of Einstein's general relativity which has previously been shown to be free from ghosts around the Minkowski background. The graviton propagator in this theory gets an exponential suppression making it asymptotically free, thus providing strong prospects of resolving various classical and quantum divergences. In particular, we will find that at 1-loop, the 2-point function is still divergent, but once this amplitude is renormalized by adding appropriate counter terms, the ultraviolet (UV) behavior of all other 1-loop diagrams as well as the 2-loop, 2-point function remains well under control. We will go on to discuss how one may be able to generalize our computations and arguments to arbitrary loops.

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Section: Infinite-derivative Gravitational Actionmentioning

confidence: 99%

Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

Talaganis

Biswas

Mazumdar

2015

Class. Quantum Grav.

Self Cite

140

252

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“…See also [8,9,18], where ghost conditions have been studied in the context of string theory. dices 2 [17,19,22]:…”

Section: Universality Of the Newtonian Potentialmentioning

confidence: 99%

Behavior of the Newtonian potential for ghost-free gravity and singularity free gravity

2016

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In this paper we show that there is a universal prediction for the Newtonian potential for a specific class of infinite derivative, ghost-free, quadratic curvature gravity. We show that in order to make such a theory ghost-free at a perturbative level, the Newtonian potential always falls-off as 1/r in the infrared limit, while at short distances the potential becomes non-singular. We provide examples which can potentially test the scale of gravitational non-locality up to 0.004 eV.

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“…Theories of quantum gravity, such as the string theory and the loop gravity, are well known examples. Recently a new, very promising UV-complete modifications of the general relativity was proposed [1][2][3][4][5][6][7][8][9][10]. It is called a ghost-free gravity.…”

Section: Introductionmentioning

confidence: 99%

Quantum radiation from a sandwich black hole

Frolov

Zelnikov

2017

Phys. Rev. D

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We discuss quantum radiation of a massless scalar field from a spherically symmetric nonsingular black hole with finite lifetime. Namely, we discuss a sandwich black-hole model, where a black hole is originally created by a collapse of a null shell of mass M , and later, after some time ∆V , it is disrupted by the collapse of the other shell with negative mass −M . We assume that between the shells the metric is static and either coincides with the Hayward metric or with a special generalization of it. We show that in both cases for sufficiently large parameter ∆V the radiation after the formation of the black hole practically coincides with the Hawking result. We also calculated the radiation, emitted from the black hole interior. This radiation contains peak at the moment when the second shell intersects the inner horizon. In the standard sandwich metric (with the Hayward interior) this outburst of the energy is exponentially large. In the modified metric, which includes additional non-trivial redshift parameter, this exponent is suppressed. This is a result of significant decrease of the surface gravity of the inner horizon in the latter case. We discuss possible consequences of this result in context of the self-consistency requirement for nonsingular models with quantum radiation.

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Generalized ghost-free quadratic curvature gravity

Cited by 190 publications

References 37 publications

Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

Towards understanding the ultraviolet behavior of quantum loops in infinite-derivative theories of gravity

Behavior of the Newtonian potential for ghost-free gravity and singularity free gravity

Quantum radiation from a sandwich black hole

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