Unattainable extended spacetime regions in conformal gravity

Chakrabarty, Hrishikesh; Benavides, Carlos; Bambi, Cosimo; Modesto, Leonardo

doi:10.1007/jhep03(2018)013

Cited by 30 publications

(19 citation statements)

References 37 publications

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“…Indeed, a finite quantum theory can hide a conformal invariance both at the classical and the quantum level [50,51]. It may be the latter, rather than non-locality itself, that solves the spacetime singularity problem [52,[56][57][58][59][60].…”

Section: Discussionmentioning

confidence: 99%

Black-hole stability in non-local gravity

2018

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Section: Discussionmentioning

confidence: 99%

Black-hole stability in non-local gravity

2018

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“…For γ > 1, the singularity is globally naked along equatorial direction, but it is not visible (even locally) along the polar direction. In [36], it was shown that the same singularity at 2M can be resolved in conformal gravity theories. Also it is worth noticing that, the 'Zipoy-Voorhees' metric is non-integrable, as shown in [37], which leads to interesting and possibly chaotic behavior for the general motion of test particles.…”

Section: Introductionmentioning

confidence: 91%

Effects of gravitational lensing on neutrino oscillation in $$ \gamma $$-spacetime

et al. 2022

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We study the effects of gravitational lensing on neutrino oscillations in the $$\gamma $$ γ -spacetime which describes a static, axially-symmetric and asymptotically flat solution of the Einstein’s field equations in vacuum. Using the quantum-mechanical treatment for relativistic neutrinos, we calculate the phase of neutrino oscillations in this spacetime by considering both radial and non-radial propagation. We show the dependence of the oscillation probability on the absolute neutrino masses, which in the two-flavour case also depends upon the sign of mass squared difference, in sharp contrast with the well-known results of vacuum oscillation in flat spacetime. We also show the effects of the deformation parameter $$\gamma $$ γ on neutrino oscillations and reproduce previously known results for the Schwarzschild metric. We then extend these to a more realistic three flavours neutrino scenario and study the effects of the parameter $$\gamma $$ γ and the lightest neutrino mass while using best fit values of neutrino oscillation parameters.

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“…[25,26]. The properties of slowly rotating magnetized compact starts [27], and other non-singular spacetime metrics [28] were investigated. In Ref.…”

Section: Introductionmentioning

confidence: 99%

Gravitational perturbations of nonsingular black holes in conformal gravity

Chen

2019

Phys. Rev. D

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It is believed that in the near future, gravitational wave detections will become a promising tool not only to test gravity theories, but also to probe extremely curved spacetime regions in our universe, such as the surroundings of black holes. In this paper, we investigate the quasinormal modes (QNMs) of the axial gravitational perturbations of a class of non-singular black holes conformally related to the Schwarzschild black hole. These non-singular black holes can be regarded as the vacuum solution of a family of conformal gravity theories which are invariant under conformal transformations. After conformal symmetry is broken, these black holes produce observational signatures different from those of the Schwarzschild black hole, such as their QNM frequencies. We assume that the spacetime is described by the Einstein equation with the effective energy momentum tensor of an anisotropic fluid. The master equation describing the QNMs is derived, and the QNM frequencies are evaluated with the Wentzel-Kramers-Brillouin (WKB) method up to the 6th order. As expected, the QNM spectra of these non-singular black holes deviate from those of the Schwarzschild black hole, indicating the possibility of testing these black hole solutions with the help of future gravitational wave detections.

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Unattainable extended spacetime regions in conformal gravity

Cited by 30 publications

References 37 publications

Black-hole stability in non-local gravity

Black-hole stability in non-local gravity

Effects of gravitational lensing on neutrino oscillation in $$ \gamma $$-spacetime

Gravitational perturbations of nonsingular black holes in conformal gravity

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