Comparison of the Noether charge and Euclidean methods for computing the entropy of stationary black holes.

  title={Comparison of the Noether charge and Euclidean methods for computing the entropy of stationary black holes.},
  author={Iyer and Wald},
  journal={Physical review. D, Particles and fields},
  volume={52 8},
  • IyerWald
  • Published 27 March 1995
  • Mathematics
  • Physical review. D, Particles and fields
The entropy of stationary black holes has recently been calculated by a number of different approaches. Here we compare the Noether charge approach (defined for any diffeomorphism invariant Lagrangian theory) with various Euclidean methods, specifically, (i) the microcanonical ensemble approach of Brown and York, (ii) the closely related approach of Ba\~nados, Teitelboim, and Zanelli which ultimately expresses black hole entropy in terms of the Hilbert action surface term, (iii) another formula… 

Noether charge, black hole volume, and complexity

A bstractIn this paper, we study the physical significance of the thermodynamic volumes of AdS black holes using the Noether charge formalism of Iyer and Wald. After applying this formalism to study

Attractors and the quantum statistical relation for extreme (BPS or not) black holes

The attractor mechanism implies that the supersymmetric black hole (BH) near horizon (NH) solution is defined in terms of the conserved charges only and therefore is independent of asymptotic moduli.

Entropy Bounds and Field Equations

For general metric theories of gravity, we compare the approach that describes/derives the field equations of gravity as a thermodynamic identity with the one which looks at them from entropy bounds.

Black hole entropy, special geometry and strings

We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional = 2 supergravity and in = 2 compactifications of string theory and

Entropy, extremality, euclidean variations, and the equations of motion

A bstractWe study the Euclidean gravitational path integral computing the Rényi entropy and analyze its behavior under small variations. We argue that, in Einstein gravity, the extremality condition

Entanglement Entropy of Black Holes

The focus in the review is on the systematic use of the conical singularity method and the puzzling behavior of the entanglement entropy due to fields, which non-minimally couple to gravity, which is illustrated on two- and four-dimensional examples.

Semi-classical thermodynamics of quantum extremal surfaces in Jackiw-Teitelboim gravity

Abstract Quantum extremal surfaces (QES), codimension-2 spacelike regions which extremize the generalized entropy of a gravity-matter system, play a key role in the study of the black hole

Geometrothermodynamics for black holes and de Sitter space

A general method to extract thermodynamic quantities from solutions of the Einstein equation is developed. In 1994, Wald established that the entropy of a black hole could be identified as a Noether

Anomalies in gravitational charge algebras of null boundaries and black hole entropy

We revisit the covariant phase space formalism applied to gravitational theories with null boundaries, utilizing the most general boundary conditions consistent with a fixed null normal. To fix the

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

This paper elaborate on the relation between the entropy formula of Wald and the "entropy function" method proposed by Sen, and defines a corresponding entropy function, with which one can discuss the attractor mechanism for extremal black holes with scalar fields.



Remark on black hole entropy in string theory.

  • Nelson
  • Physics
    Physical review. D, Particles and fields
  • 1994
The string-theoretic calculation of black hole entropy is extended, first performed by Susskind and Uglum, and it is shown that the result agrees with that obtained from the classical action of string theory, using the Noether charge method developed by Wald.

Black hole pair creation and the entropy factor.

  • Brown
  • Physics
    Physical review. D, Particles and fields
  • 1995
It is shown that in the instanton approximation the rate of creation of black holes is always enhanced by a factor of the exponential of the black hole entropy relative to the rate of creation of

General relativity

Phys. Rev.D

  • Phys. Rev.D
  • 1994

Teitelboim in " Proceedings of the Cornelius Lanczos Ineternational Centenary Conference

  • Teitelboim in " Proceedings of the Cornelius Lanczos Ineternational Centenary Conference
  • 1994

Proc. Roy. Soc.Lond.A

  • Proc. Roy. Soc.Lond.A
  • 1990

Quasilocal energy-momentum for gravity theories

  • Quasilocal energy-momentum for gravity theories

J. Math. Phys

  • J. Math. Phys
  • 1990