Charged Vaidya solution satisfies weak energy condition

Chatterjee, Soumyabrata; Ganguli, Suman; Virmani, Amitabh

doi:10.1007/s10714-016-2089-3

Cited by 12 publications

(8 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…interpretation is consistent with the null limit for timelike fluids [3] as well as the evolution of null charged particles in Reissner-Nordström (RN) spacetimes [3] (and Appendix A of this paper) and null charged thin shells [6]. Generalizations of this procedure have recently been applied to modified f (R) theories of gravity [7] as well as the extremal case of the charged Vaidya solution [8]. However in [8] a possible inconsistency was noted in Ori's original calculation.…”

Section: Introductionsupporting

confidence: 75%

“…While the correct energy conditions have been noted and applied by others [11][12][13][14]26] it also true that the error in [10] does not seem to be universally known. The incorrect conditions are used in, for example, [2,7,[15][16][17][18][19].…”

Section: Appendix B: Energy Conditions For Type II Stress-energy Tensorsmentioning

confidence: 99%

“…Since we are concerned with energy condition violations, we re-examined those conditions and were surprised to find an error in their original presentation in [10]. While we have subsequently learned that this has been previously noted (see for example [11][12][13][14]) the error is not universally known and the incorrect conditions have been and continue to be used in the literature (see, for example, [2,7,[15][16][17][18][19]). As such for future reference we explicitly present the correct form of the energy conditions in an appendix to this paper.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Collapse and bounce of null fluids

Creelman

Booth

2017

Phys. Rev. D

View full text Add to dashboard Cite

Exact solutions describing the spherical collapse of null fluids can contain regions which violate the energy conditions. Physically the violations occur when the infalling matter continues to move inwards even when non-gravitational repulsive forces become stronger than gravity. In 1991 Ori proposed a resolution for these violations: spacetime surgery should be used to replace the energy condition violating region with an outgoing solution. The matter bounces. We revisit and implement this proposal for the more general Husain null fluids including a careful study of potential discontinuities and associated matter shells between the regions. Along the way we highlight an error in the standard classification of energy condition violations for Type II stress-energy tensors.Comment: 13 pages, 4 figures. V2: Error corrected so that the thin shell now vanishes for Ori matching conditions. Other minor changes. V3 (version accepted to PRD): error in Fig 1 fixed, section and appendix added on smoothness of matter fields, numerous references adde

show abstract

Section: Introductionsupporting

confidence: 75%

Section: Appendix B: Energy Conditions For Type II Stress-energy Tensorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Collapse and bounce of null fluids

Creelman

Booth

2017

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…This typically (but not always) occurs at some surface ζ = ζ v . Unfortunately, it is generally difficult to obtain an exact expression for ζ v , but if it is the case that such a surface is spacelike, one might use the techniques of [35,36,29] to glue the original solution (with infalling null matter) onto an outgoing version of itself, in order to obtain a global spacetime free from energy condition violations, and which describes a bouncing null fluid. that…”

Section: Resultsmentioning

confidence: 99%

Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids

Aniceto

Rocha

2019

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate continuously self-similar solutions of four-dimensional Einstein-Maxwelldilaton theory supported by charged null fluids. We work under the assumption of spherical symmetry and the dilaton coupling parameter a is allowed to be arbitrary. First, it is proved that the only such vacuum solutions with a time-independent asymptotic value of the dilaton necessarily have vanishing electric field, and thus reduce to Roberts' solution of the Einsteindilaton system. Allowing for additional sources, we then obtain Vaidya-like families of selfsimilar solutions supported by charged null fluids. By continuously matching these solutions to flat spacetime along a null hypersurface one can study gravitational collapse analytically. Capitalizing on this idea, we compute the critical exponent defining the power-law behavior of the mass contained within the apparent horizon near the threshold of black hole formation. For the heterotic dilaton coupling a = 1 the critical exponent takes the value 1/2 typically observed in similar analytic studies, but more generally it is given by γ = a 2 (1 + a 2 ) −1 . The analysis is complemented by an assessment of the classical energy conditions. Finally, and on a different note, we report on a novel dyonic black hole spacetime, which is a time-dependent vacuum solution of this theory. In this case, the presence of constant electric and magnetic charges naturally breaks self-similarity. arXiv:1907.02715v1 [hep-th] 5 Jul 2019Gravitational collapse is the classical mechanism responsible for the formation of black holes in the universe. It occurs when the matter density is so high that gravitational attraction, the weakest of all known forces, dominates over all other forces of nature. It has been understood long ago that stellar-mass black holes can be formed when sufficiently massive stars exhaust their nuclear fuel [1]. Alternatively, primordial black holes may have formed in the early universe as the result of the gravitational collapse of cosmological density fluctuations [2], although there is currently no observational evidence for their existence.Once gravitational collapse sets in, typically it is not guaranteed that a black hole will form. This only occurs if the initial conditions are sufficiently 'strong' in some sense. Otherwise, the matter contracts without ever generating sufficiently high densities to produce an event horizon and then fully disperses, leaving behind flat space. This problem was first investigated by Christodoulou in a series of papers [3,4], taking a massless scalar field as the matter model. At the threshold between forming or not a black hole during gravitational collapse, critical phenomena arises. This was revealed by Choptuik in a seminal paper [5], which studied numerically the same problem previously considered by Christodoulou and which set much of the groundwork for the field that became known as critical collapse (see [6] for a review).Near the threshold of black hole formation Choptuik found universal behavior, emergent self-similarity, and t...

show abstract

“…One reason for this consideration is the fact that if the surface is time like, then, both the ingoing and the outgoing Vaidya solutions must coexist in the same region of spacetime and one fails to find the metric that describes this behaviour. This feature also generalized to higher dimensions, as well as with AdS boundary condition and also for higher curvature theories of gravity [24]. Consider two manifolds M, M corresponding to ingoing and outgoing Vaidya respectively glued along the space like surface r = r c = q q ṁ , cf.…”

Section: Null Charged Fluid and The Glued Vaidya Solutionmentioning

confidence: 99%

Massless charged particles: Cosmic censorship, and the third law of black hole mechanics

Fairoos¹,

Ghosh²,

Sarkar³

2017

Phys. Rev. D

View full text Add to dashboard Cite

The formulation of the laws of black hole mechanics assumes the stability of black holes under perturbations in accordance with the "cosmic censorship hypothesis"(CCH). CCH prohibits the formation of a naked singularity by a physical process from a regular black hole solution with an event horizon. Earlier studies show that naked singularities can indeed be formed leading to the violation of CCH if a near-extremal black hole is injected with massive charged particles and the back reaction effects are neglected. We investigate the validity of CCH by considering the infall of charged massless particles as well as a charged null shell. We also discuss the issue of third law of black hole mechanics in the presence of null charged particles by considering various possibilities. * fairoos.c@iitgn.ac.in † avirup.ghosh@iitgn.ac.in ‡ sudiptas@iitgn.ac.in arXiv:1709.05081v2 [gr-qc]

show abstract

Charged Vaidya solution satisfies weak energy condition

Cited by 12 publications

References 27 publications

Collapse and bounce of null fluids

Collapse and bounce of null fluids

Self-similar solutions and critical behavior in Einstein-Maxwell-dilaton theory sourced by charged null fluids

Massless charged particles: Cosmic censorship, and the third law of black hole mechanics

Contact Info

Product

Resources

About