REVIEW 6 cited by
Gravitational collapse to extremal black holes and the third law of black hole thermodynamics
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We construct examples of black hole formation from regular, one-ended asymptotically flat Cauchy data for the Einstein-Maxwell-charged scalar field system in spherical symmetry which are exactly isometric to extremal Reissner-Nordstr\"om after a finite advanced time along the event horizon. Moreover, in each of these examples the apparent horizon of the black hole coincides with that of a Schwarzschild solution at earlier advanced times. In particular, our result can be viewed as a definitive disproof of the "third law of black hole thermodynamics." The main step in the construction is a novel $C^k$ characteristic gluing procedure, which interpolates between a light cone in Minkowski space and a Reissner-Nordstr\"om event horizon with specified charge to mass ratio $e/M$. Our setup is inspired by the recent work of Aretakis-Czimek-Rodnianski on perturbative characteristic gluing for the Einstein vacuum equations. However, our construction is fundamentally nonperturbative and is based on a finite collection of scalar field pulses which are modulated by the Borsuk-Ulam theorem.
Forward citations
Cited by 6 Pith papers
-
Near--extremal gravitational collapse in 4+1 dimensions: Schwarzschild--de--Sitter space
Numerical simulations in 4+1 dimensions show near-extremal Schwarzschild-de Sitter black holes forming from gravitational wave collapse with mass over 99% of the extremal limit, suggesting the third law may not apply ...
-
A Nonlinear Endpoint of Charged Horizon Instabilities
Charged scalar collapse can form dynamical extremal black holes whose horizons show divergent energy density and constant charge hair, with universal near-threshold scaling.
-
Violation of the third law of black hole mechanics in vacuum gravity
Numerical gluing constructions show finite-time formation of an extremal Myers-Perry black hole in five-dimensional vacuum gravity, from Schwarzschild or from no black hole.
-
Approaching a dynamical extreme black hole horizon
Explicit JT-gravity solutions give closed-form descriptions of the late-time approach to dynamical extreme Reissner-Nordström black holes with persistent Aretakis instability.
-
Formation of extremal Reissner-Nordstr\"om black holes: insights from numerics
For several scalar-field profiles, extremal Reissner-Nordström black holes can be glued from collapse only above a profile-dependent threshold in eM, and only for scalar masses below about m/e≈0.28.
-
On the third law of black hole mechanics for supersymmetric black holes
Supersymmetric black holes cannot form in finite time from matter obeying the local mass-charge inequality, and a non-extremal black hole cannot evolve into a supersymmetric one in finite time.
Discussion (0). Sign in to comment.