REVIEW 5 cited by
A third law of black hole mechanics for supersymmetric black holes and a quasi-local mass-charge inequality
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
read the original abstract
It has recently been proved that a third law of black hole mechanics does not hold for Einstein-Maxwell theory coupled to a massless charged scalar field: there exist solutions that describe gravitational collapse to form an exactly extremal Reissner-Nordstr\"om black hole in finite time. In this paper it is proved that such solutions do not exist in theories with matter fields satisfying a local mass-charge inequality. In such a theory, if a 2-surface has the same metric, extrinsic curvature, and Maxwell field as a cross-section of an extremal Reissner-Nordstr\"om horizon then this surface cannot have a compact interior and so cannot be a horizon cross-section of a black hole formed in gravitational collapse. This result is proved using spinorial techniques, which are also used to prove a mass-charge inequality for a modified version of the Dougan-Mason quasi-local mass.
Forward citations
Cited by 5 Pith papers
-
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.
-
Information-Theoretic Black Hole Entropy I: Beyond the Area Law
Black hole entropy is proposed to equal the Kullback-Leibler divergence between a mass-biased N-bit ensemble and the uniform ensemble, with the area law as the leading 1/N term.
-
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.
-
Information--Theoretic Black Hole Entropy II: Infrared Gravity and Charged/Rotating Extensions
A perturbative infrared deformation of general relativity, with coefficients fixed by matching, reproduces the proposed third-law-compatible black hole entropy, and the same formula extends to Kerr-Newman black holes ...
Discussion (0). Sign in to comment.