The Null Energy Condition and its violation

Рубаков, Валерий А.

doi:10.3367/ufnr.0184.201402b.0137

Cited by 49 publications

(29 citation statements)

References 119 publications

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“…Among those conditions, the null energy condition (NEC) is particularly interesting since it is a crucial assumption of the Penrose(-Hawking) singularity theorem [87], valid in General Relativity. Thus, for matter obeying the NEC, there is always a singularity that gets formed inside a black hole horizon, and any contracting Universe ends up in a singularity, provided its spatial curvature is dynamically negligible [85,86]. Thus, we will focus our attention to the NEC.…”

Section: The Null Energy Conditionmentioning

confidence: 99%

“…in order to try to capture the idea that "energy should be positive" [83]. There are typically four energy conditions (dominant, weak, strong, and null) which help to obtain desirable solutions of Einstein's field equations [84][85][86]. Among those conditions, the null energy condition (NEC) is particularly interesting since it is a crucial assumption of the Penrose(-Hawking) singularity theorem [87], valid in General Relativity.…”

Section: The Null Energy Conditionmentioning

confidence: 99%

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Scale-dependent ( $$2+1$$ 2 + 1 )-dimensional electrically charged black holes in Einstein-power-Maxwell theory

et al. 2018

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In this work we extend and generalize our previous work on the scale dependence at the level of the effective action of black holes in the presence of non-linear electrodynamics. In particular, we consider the Einstein-powerMaxwell theory without a cosmological constant in (2 + 1) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling and we investigate in detail how the scale-dependent scenario affects the horizon and thermodynamic properties of the classical black holes for any value of the power parameter. In addition, we solve the corresponding effective field equations imposing the "null energy condition" in order to obtain analytical solutions. The implications of quantum corrections are also briefly discussed.

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Section: The Null Energy Conditionmentioning

confidence: 99%

Section: The Null Energy Conditionmentioning

confidence: 99%

Scale-dependent ( $$2+1$$ 2 + 1 )-dimensional electrically charged black holes in Einstein-power-Maxwell theory

et al. 2018

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“…Another line of research that deals with this conjecture is to see its topological effects together with null energy condition [35][36][37][38][39][40][41][42][43][44][45][46][47][48]. Also there is another debate about the validity of either cosmic censorship conjecture or naked singularities in modified gravity theories upon considering null energy condition [49][50][51][52][53][54][55][56][57]. Recent analytical proof [58] is in favor of cosmic censorship conjecture, while others [59][60][61] counter-argued cosmic censorship conjecture, leaving the quest unanswered.…”

Section: Arxiv:190309634v1 [Hep-th] 22 Mar 2019mentioning

confidence: 99%

Massless charged particles, naked singularity, and GUP in Reissner-Nordström-de Sitter-like spacetime

2019

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DedicationOne of us (A.F.A.) wishes to dedicate this work to the memory of his late father Farag Mohammad Ali whose sudden death during the preparation of the final draft of this work in 2019 greatly sorrowed him. AbstractMotivated by the endeavors of Li Xiang and You-Gen Shen on naked singularities, we investigate the validity of the cosmic censorship conjecture in the context of generalized uncertainty principle. In particular, upon considering both linear and quadratic terms of momentum in the uncertainty principle, we first compute the entropy of a massless charged black hole in de Sitter spacetime at a given modified temperature. Then, we compute the corresponding modified cosmological radius and express the black hole electric charge in terms of this modified cosmological radius and, thus, in terms of the generalized uncertainty principle parameter. Finally, we examine whether such a system will end up being a naked singularity or it might be protected by the cosmic censorship conjecture, and how that might be related to the possible existence of massless charged particles.

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“…Generalized Galileons are scalar fields whose Lagrangian involves second derivatives, but the corresponding equations of motion are still second-order and, thus, are free of Ostrogradsky instabilities [1] (for a review see, e.g., Ref. [2]). …”

Section: Introductionmentioning

confidence: 99%

On perturbations in Horndeski theories

Volkova

2018

EPJ Web Conf.

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Abstract. This research has been carried out in collaboration with R. Kolevatov, S. Mironov, V. Rubakov and N. Sukhov. We study the approach suggested by Deffayet et al. for obtaining a derivative part of the quadratic action for scalar perturbations in the cubic Horndeski theory. We analyse the validity of the approach and generalize it for the complete Horndeski theory. We explicitly check that the generalized method gives the correct result.

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The Null Energy Condition and its violation

Cited by 49 publications

References 119 publications

Scale-dependent ( $$2+1$$ 2 + 1 )-dimensional electrically charged black holes in Einstein-power-Maxwell theory

Scale-dependent ( $$2+1$$ 2 + 1 )-dimensional electrically charged black holes in Einstein-power-Maxwell theory

Massless charged particles, naked singularity, and GUP in Reissner-Nordström-de Sitter-like spacetime

On perturbations in Horndeski theories

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