A comment on black hole entropy or does nature abhor a logarithm?

  title={A comment on black hole entropy or does nature abhor a logarithm?},
  author={A. J. M. Medved},
  journal={Classical and Quantum Gravity},
  pages={133 - 142}
  • A. Medved
  • Published 10 June 2004
  • Physics
  • Classical and Quantum Gravity
There has been substantial interest, as of late, in the quantum-corrected form of the Bekenstein–Hawking black hole entropy. The consensus viewpoint is that the leading-order correction should be a logarithm of the horizon area; however, the value of the logarithmic prefactor remains a point of notable controversy. Very recently, Hod has employed statistical arguments that constrain this prefactor to be a non-negative integer. In the current paper, we invoke some independent considerations to… 

When conceptual worlds collide: The generalized uncertainty principle and the Bekenstein-Hawking entropy

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein-Hawking (black hole) entropy. In particular, many researchers have expressed a vested interest

Corrections to the Hawking Tunneling Radiation from MDR

We investigate some aspects of black hole (BH) thermodynamics in the framework of a modified dispersion relation. We calculate a minimal length and a maximal momentum to find a relation between

Generalized Uncertainty Relation and Hawking Radiation of the Black Hole

Recently, there has been much attention devoted to the correction to the black hole radiation spectrum and the quantum corrections to Bekenstein-Hawking entropy. In particular, many researchers have

Logarithmic corrections to extremal black hole entropy from quantum entropy function

We evaluate the one loop determinant of matter multiplet fields of $ \mathcal{N} = 4 $ supergravity in the near horizon geometry of quarter BPS black holes, and use it to calculate logarithmic

Spacetime dimensionality and logarithmic prefactor in the black hole entropy relation

We study the relation between the existence of the logarithmic prefactor and spacetime dimensionality in black hole entropy relation by a detailed study of a TeV-scale black hole entropy. In a model

On the existence of the logarithmic correction term in black hole entropy-area relation

In this paper we consider a model universe with large extra dimensions to obtain a modified black hole entropy-area relation. We use the generalized uncertainty principle to find a relation between

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions

  • A. Sen
  • Physics, Computer Science
  • 2013
Euclidean gravity results provide strong constraint on any ultraviolet completion of the theory if the latter is able to give an independent computation of the entropy of non-extremal black holes from microscopic description.

MicroBlack Holes Thermodynamics in the Presence of Quantum Gravity Effects

Black hole thermodynamics is corrected in the presence of quantum gravity effects. Some phenomenological aspects of quantum gravity proposal can be addressed through generalized uncertainty principle

Emergent gravity and entanglement entropy of black holes

When the gravitational interaction emerges from some underlying quantum field theory, black hole entropy should be completely explained in terms of the entanglement entropy (EE) of the quantum fields



Logarithmic corrections to black hole entropy, from the Cardy formula

Many recent attempts to calculate black hole entropy from first principles rely on conformal field theory techniques. By examining the logarithmic corrections to the Cardy formula, I compute the

Universal canonical black hole entropy.

Nonrotating black holes in three and four dimensions are shown to possess a canonical entropy obeying the Bekenstein-Hawking area law together with a leading correction given by the logarithm of the area with a universal finite negative coefficient.

Black hole entropy: classical and quantum aspects

An elementary introduction is given to the problem of black hole entropy as formulated by Bekenstein and Hawking, based on the so-called Laws of Black Hole Mechanics. Wheeler's `It from Bit' picture

LETTER TO THE EDITOR: High-order corrections to the entropy and area of quantum black holes

The celebrated area?entropy formula for black holes has provided the most important clue in the search for the elusive theory of quantum gravity. We explore the possibility that the (linear)

Thermal Fluctuations and Black Hole Entropy

In this paper, we consider the effect of thermal fluctuations on the entropy of both neutral and charged black holes. We emphasize the distinction between fixed and fluctuating charge systems; using

Logarithmic correction to the bekenstein-hawking entropy

The exact formula derived by us earlier for the entropy of a four dimensional nonrotating black hole within the quantum geometry formulation of the event horizon in terms of boundary states of a

Quasinormal modes, the area spectrum, and black hole entropy.

A result from classical gravity concerning the quasinormal mode spectrum of a black hole is used to fix the Immirzi parameter and the Bekenstein-Hawking expression of A/4l(2)(P) for the entropy of ablack hole is arrived at.

Black Hole Entropy from Spin One Punctures

A recent suggestion that the emission of a quantum of energy corresponding to the asymptotic value of quasinormal modes of a Schwarzschild black hole should be associated with the loss of spin one

Black-hole entropy from quantum geometry

Quantum geometry (the modern loop quantum gravity involving graphs and spin-networks instead of the loops) provides microscopic degrees of freedom that account for black-hole entropy. However, the

Black Hole Entropy from Loop Quantum Gravity.

  • Rovelli
  • Physics
    Physical review letters
  • 1996
This work argues that for a (macroscopically) Schwarzschild black hole this ensemble is formed by horizons with the same area, and obtains a statistical entropy proportional to the area, as in the Bekenstein-Hawking formula.