Heat kernel expansion and extremal Kerr-Newmann black hole entropy in Einstein-Maxwell theory

Abstract We study one-loop covariant effective action of “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory by heat kernel tool. By fluctuating the fields around the classical background, we study the functional determinant of Laplacian differential operator following Seeley-DeWitt technique of heat kernel expansion in proper time. We then compute the Seeley-DeWitt coefficients obtained through the expansion. A particular Seeley-DeWitt coefficient is used for determining the logarithmic correction to Bekenstein-Hawking entropy of extremal black holes using quantum entropy function formalism. We thus determine the logarithmic correction to the entropy of Kerr-Newman, Kerr and Reissner-Nordström black holes in “non-minimally coupled” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity theory.

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Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽

10.3390/e23070858 ◽

2021 ◽

Vol 23 (7) ◽

pp. 858

Author(s):

Dongshan He ◽

Qingyu Cai

Keyword(s):

Information Theory ◽

Black Hole ◽

Black Hole Entropy ◽

Quantum Corrections ◽

Compton Wavelength ◽

Information Theoretic ◽

Curved Space ◽

Thermodynamic Entropy ◽

Hole Area ◽

The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

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Comment on “Black Hole Entropy from Conformal Field Theory in Any Dimension”

Physical Review Letters ◽

10.1103/physrevlett.83.5595 ◽

1999 ◽

Vol 83 (26) ◽

pp. 5595-5595 ◽

Cited By ~ 43

Author(s):

Mu-In Park ◽

Jeongwon Ho

Keyword(s):

Field Theory ◽

Black Hole ◽

Conformal Field Theory ◽

Black Hole Entropy ◽

Conformal Field

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THE BLACK HOLE ENTROPY BOUND AND THE MAXIMUM TEMPERATURE FOR MESON FORMATION IN THE NUCLEAR FIREBALL

Modern Physics Letters A ◽

10.1142/s0217732391003535 ◽

1991 ◽

Vol 06 (33) ◽

pp. 3039-3045 ◽

Cited By ~ 4

Author(s):

JISHNU DEY ◽

MIRA DEY ◽

MARCELO SCHIFFER ◽

LAURO TOMIO

Keyword(s):

Black Hole ◽

Simple Model ◽

Black Hole Entropy ◽

Heavy Ion ◽

Black Hole Thermodynamics ◽

Maximum Temperature ◽

Ion Collisions ◽

Pion Interferometry ◽

Entropy Bound ◽

Confined System

The entropy bound from black hole thermodynamics can be invoked to set limits for temperatures at which hadrons can survive as a confined system. We find that this implies that the pion can be formed in heavy ion collisions, much later than heavier mesons, for example the ρ-meson, when the fireball is cooler. The temperature found in a simple model agree qualitatively with experiment. We also suggest that this may be the reason why in pion interferometry experiments the space-time volume of the pion source seems large.

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