Scanning the parameter space of collapsing rotating thin shells

Rocha, Jorge V.; Santarelli, Raphael

doi:10.1088/1361-6382/aac310

Cited by 3 publications

(2 citation statements)

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“…This result generalises the analysis done in Section 3 of [11] and the one done in Subsection 5.4 of [8] while being connected with them. It also complies with the results obtained in [17], where the authors considered thin shells made of linear barotropic fluids in a rotating odd-dimensional spacetime where all independent angular momenta coincide, for the spherically symmetric (zero angular momentum) case.…”

Section: A Weak Cosmic Censorshipsupporting

confidence: 88%

Evolution of thin shells in D-dimensional general relativity

Ramirez

Aparício

2019

Int. J. Mod. Phys. D

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In this paper we consider singular timelike spherical hypersurfaces embedded in a Ddimensional spherically symmetric bulk spacetime which is an electrovacuum solution of Einstein equations with cosmological constant. We analyse the different possibilities regarding the orientation of the gradient of the standard r coordinate in relation to the shell. Then we study the dynamics according to Einstein equations for arbitrary matter satisfying the dominant energy condition. In particular, we thoroughly analyse the asymptotic dynamics for both the small and large-shell-radius limits. We also study the main qualitative aspects of the dynamics of shells made of linear barotropic fluids that satisfy the dominant energy condition. Finally, we prove weak cosmic censorship for this class of solutions.

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Section: A Weak Cosmic Censorshipsupporting

confidence: 88%

Evolution of thin shells in D-dimensional general relativity

Ramirez

Aparício

2019

Int. J. Mod. Phys. D

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“…Hence, we have resorted to numerical methods to assess the validity of the NEC, employing a similar strategy as that used in Ref. [37]. In essence, this amounts to numerically searching for double roots of the generalized polynomial, which determine the boundary between compliance and violation of the energy condition.…”

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.

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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...

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Weak cosmic censorship and the rotating quantum BTZ black hole

Frassino,

Rocha,

Sanna

2024

J. High Energ. Phys.

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Tests of the weak cosmic censorship conjecture examine the possibility of the breakdown of predictivity of the gravitational theory considered, by checking if curvature singularities typically present in black hole spacetimes are concealed within an event horizon at all times. A possible method to perform such tests was proposed by Wald and consists in trying to overspin an extremal rotating black hole by throwing at it a test particle with large angular momentum. In this paper, we analyze the effects of dropping a test particle into an extremal quantum rotating BTZ black hole, whose three-dimensional metric captures the exact backreaction from strongly coupled quantum conformal fields. Our analysis reveals that, despite the inclusion of quantum effects, and akin to the classical scenario, these attempts to destroy the black hole are doomed to be unsuccessful. Particles carrying the maximum angular momentum and still falling into an extremal quantum BTZ black hole can, at most, leave it extremal. Nevertheless, we found numerical evidence that large backreaction of the quantum fields tends to disfavor violations of cosmic censorship.

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Scanning the parameter space of collapsing rotating thin shells

Cited by 3 publications

References 79 publications

Evolution of thin shells in D-dimensional general relativity

Evolution of thin shells in D-dimensional general relativity

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

Weak cosmic censorship and the rotating quantum BTZ black hole

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