First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories

Gao, Sijie

doi:10.1103/physrevd.68.044016

Cited by 47 publications

(65 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(This result is a generalisation of that for Einstein-Maxwell theory obtained [21]. Analagous results were obtained in [13] for Einstein gravities coupled to a conformally massless scalar.)…”

Section: Jhep06(2014)109supporting

confidence: 82%

See 1 more Smart Citation

Thermodynamics of Einstein-Proca AdS black holes

Liu

Lü

Pope

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We study static spherically-symmetric solutions of the Einstein-Proca equations in the presence of a negative cosmological constant. We show that the theory admits solutions describing both black holes and also solitons in an asymptotically AdS background. Interesting subtleties can arise in the computation of the mass of the solutions and also in the derivation of the first law of thermodynamics. We make use of holographic renormalisation in order to calculate the mass, even in cases where the solutions have a rather slow approach to the asymptotic AdS geometry. By using the procedure developed by Wald, we derive the first law of thermodynamics for the black hole and soliton solutions. This includes a non-trivial contribution associated with the Proca "charge". The solutions cannot be found analytically, and so we make use of numerical integration techniques to demonstrate their existence.

show abstract

Section: Jhep06(2014)109supporting

confidence: 82%

“…The general procedure was developed in [19,20]. Its application in Einstein-Maxwell theory can be found in [21]. Starting from a Lagrangian L, its variation under a general variation of the fields can be written as…”

Section: Jhep06(2014)109mentioning

confidence: 99%

Thermodynamics of Einstein-Proca AdS black holes

Liu

Lü

Pope

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…By multiplying (22) by Ω H and then subtracting it from (21), and taking into account (15), (16), (17) and (19), it follows immediately that if the particle does cross the event horizon, then…”

Section: Thought Experiments With a Point Particlementioning

confidence: 96%

“…It is worth noting that processes similar to those mentioned above are dealt with in the derivation of "physical process versions" of the first law of black hole mechanics [11][12][13][14][15][16]. These derivations are similar to some extent to those that we present for the case of the scalar field, nevertheless the dynamics of the metric has an important role in them.…”

Section: Introductionmentioning

confidence: 91%

Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr–Newman black holes

Tóth

2012

Gen Relativ Gravit

View full text Add to dashboard Cite

A thought experiment considered recently in the literature, in which it is investigated whether a dyonic Kerr-Newman black hole can be destroyed by overcharging or overspinning it past extremality by a massive complex scalar test field, is revisited. Another derivation of the result that this is not possible, i.e. the weak cosmic censorship is not violated in this thought experiment, is given. The derivation is based on conservation laws, on a null energy condition, and on specific properties of the metric and the electromagnetic field of dyonic Kerr-Newman black holes. The metric is kept fixed, whereas the dynamics of the electromagnetic field is taken into account. A detailed knowledge of the solutions of the equations of motion is not needed. The approximation in which the electromagnetic field is fixed is also considered, and a derivation for this case is also given. In addition, an older version of the thought experiment, in which a pointlike test particle is used, is revisited. The same result, namely the non-violation of the cosmic censorship, is rederived in a way which is simpler than in earlier works.

show abstract

“…This gauge transformation will modify the data of gauge potential at infinity and an additional potential-charge term ΦδQ into the dynamics of the charged black holes from infinity, where Φ = ξ c A c | H is the electrostatic potential on the horizon of the charged black hole and Q is the electric charge [47]. Another treatment is: We only require the smoothness of the gauge potential projecting on the bifurcation surface, i.e., ξ a A a instead of the gauge potential itself, so Q F will generally not vanish on the bifurcation surface, and then Φ = ξ c A c | H is introduced into the law of black hole without help of gauge transformation [48].…”

Section: The Definition Of Waldmentioning

confidence: 99%

Entropy function and the attractor mechanism for spherically symmetric extremal black holes

Cai

Cao

2007

Phys. Rev. D

View full text Add to dashboard Cite

In this paper we elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by A. Sen. For spherically symmetric extremal black holes, it is shown that the expression of extremal black hole entropy given by A. Sen can be derived from the general entropy definition of Wald, without help of the treatment of rescaling the AdS 2 part of near horizon geometry of extremal black holes. In our procedure, we only require that the surface gravity approaches to zero, and it is easy to understand the Legendre transformation of f , the integration of Lagrangian density on the horizon, with respect to the electric charges. Since the Noether charge form can be defined in an "off-shell" form, we define a corresponding entropy function, with which one can discuss the attractor mechanism for extremal black holes with scalar fields.

show abstract

First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories

Abstract: The first law of black hole mechanics is derived from the Einstein-Maxwell Lagrangian by comparing two infinitesimally nearby stationary black holes. With similar arguments, the first law of black hole mechanics in Einstein-Yang-Mills theory is also derived.

Cited by 47 publications

References 10 publications

Thermodynamics of Einstein-Proca AdS black holes

Thermodynamics of Einstein-Proca AdS black holes

Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr–Newman black holes

Entropy function and the attractor mechanism for spherically symmetric extremal black holes

Contact Info

Product

Resources

About