Impulsive waves in ghost-free infinite derivative gravity in anti–de Sitter spacetime

Dengiz, Suat; Kilicarslan, Ercan; Kolář, Ivan; Mazumdar, Anupam

doi:10.1103/physrevd.102.044016

Cited by 32 publications

(32 citation statements)

References 72 publications

(127 reference statements)

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“…With the weak-field solutions at our disposal, we can now determine if they are dual to each other in the sense of Eq. (38). The electric and magnetic parts of their respective Weyl tensors via Eq.…”

Section: A Broken Dualitymentioning

confidence: 99%

“…One may verify that these tensors are indeed tracefree. The difference of the magnetic Schwarzschild part and the electric NUT part is zero (because both expressions vanish identically), but the difference between the electric Schwarzschild part and the magnetic NUT part for n → m takes the form According to our definition of GEM duality (38), the above relation implies that these solutions are not dual to one another. If the duality was exact, then one would have Ξ ij ¼ 0.…”

Section: A Broken Dualitymentioning

confidence: 99%

“…Nonlocal theories of this type have received considerable attention in the recent literature as well [35,36]. While a few exact classical solutions have been found in the context of gravitational waves [37,38] and cosmology [39,40], the complexity of the nonlocal gravitational field equations has so far prohibited a deeper study of the nonlinear regime; a notable exception is the recent work on almost universal spacetimes [41]. At the weak-field level, however, a plethora of solutions has been constructed in the past years [42][43][44][45][46][47][48][49][50][51][52][53].…”

Section: Introductionmentioning

confidence: 99%

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Nonlocality and gravitoelectromagnetic duality

Boos

Kolář

2021

Phys. Rev. D

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The weak-field Schwarzschild and NUT solutions of general relativity are gravitoelectromagnetically dual to each other, except on the positive z-axis. The presence of nonlocality weakens this duality and violates it within a smeared region around the positive z-axis, whose typical transverse size is given by the scale of nonlocality. We restore an exact nonlocal gravitoelectromagnetic duality everywhere via a manifestly dual modification of the linearized nonlocal field equations. In the limit of vanishing nonlocality we recover the well-known results from weak-field general relativity. Nonlocality, as a possible ultraviolet completion of gravity, does not pose a fundamental impediment to duality structures at the linear level.

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Section: A Broken Dualitymentioning

confidence: 99%

Section: A Broken Dualitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlocality and gravitoelectromagnetic duality

Boos

Kolář

2021

Phys. Rev. D

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“…For each extended theory of gravity beyond Einstein's GR, there is a corresponding modified Newtonian potential which will cause different phase shifts and losses of coherence. In the next section, we consider a two-level quantum system as a clock to find a simple expression for H 0 , by means of which we can explicitly evaluate the interferometric visibility (43).…”

Section: Hamiltonian Of a Quantum System In A Gravitational Fieldmentioning

confidence: 99%

Quantum interference in external gravitational fields beyond General Relativity

2021

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In this paper, we study the phenomenon of quantum interference in the presence of external gravitational fields described by alternative theories of gravity. We analyze both non-relativistic and relativistic effects induced by the underlying curved background on a superposed quantum system. In the non-relativistic regime, it is possible to come across a gravitational counterpart of the Bohm–Aharonov effect, which results in a phase shift proportional to the derivative of the modified Newtonian potential. On the other hand, beyond the Newtonian approximation, the relativistic nature of gravity plays a crucial rôle. Indeed, the existence of a gravitational time dilation between the two arms of the interferometer causes a loss of coherence that is in principle observable in quantum interference patterns. We work in the context of generalized quadratic theories of gravity to compare their physical predictions with the analogous outcomes in general relativity. In so doing, we show that the decoherence rate strongly depends on the gravitational model under investigation, which means that this approach turns out to be a promising test bench to probe and discriminate among all the extensions of Einstein’s theory in future experiments.

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“…The linearized metric solution to a rotating source in non-local gravity has no ring singularity [117,118]. Non-local gravity was studied further in static setups in [119][120][121][122] and in dynamical setups in [110,[123][124][125][126][127]. Non-local QFTs were studied in [128][129][130][131][132][133][134][135][136][137] and at finite temperature in [138][139][140][141][142].…”

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confidence: 99%

Aspects of Ultraviolet Non-local Gravity

Maheshwari

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The objective of this thesis is to introduce ultraviolet (UV) non-local gravity and discuss some new results in it. Motivated from approaches to quantum gravity like string theory, this is a higher derivative modification of General Relativity (GR) which aims to provide a softer description of gravity at short distances, while simultaneously keeping at bay the typical illnesses that accompany higher derivative theories. The derivatives appearing in the action are of infinite order, making the theory 'non-local'. Moreover, it is 'UV' because the derivatives modify gravity at high energies, while recovering GR at low energies. We discuss how such theories 1) possess linearized solutions with nondivergent gravitational potentials and curvatures, 2) admit non-maximally symmetric backgrounds which are stable (free from ghosts/tachyons) under perturbations, 3) admit non-singular, isotropic and homogeneous bouncing cosmological solutions with stable perturbations and 4) admit non-singular, anisotropic and homogeneous bouncing cosmological solutions where, unlike in GR, there is no unstable growth of spacetime anisotropies during the contraction phase of the universe, and isotropy and homogeneity is recovered at late times during the expanding phase.

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Impulsive waves in ghost-free infinite derivative gravity in anti–de Sitter spacetime

Cited by 32 publications

References 72 publications

Nonlocality and gravitoelectromagnetic duality

Nonlocality and gravitoelectromagnetic duality

Quantum interference in external gravitational fields beyond General Relativity

Aspects of Ultraviolet Non-local Gravity

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