Black hole thermodynamics in the presence of nonlinear electromagnetic fields - INSPIRE

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Black hole thermodynamics in the presence of nonlinear electromagnetic fields

Ana Bokulić
(
- Zagreb U.
)
,
Tajron Jurić
(
- Boskovic Inst., Zagreb
)
,
Ivica Smolić
(
- Zagreb U.
)

Feb 11, 2021

21 pages

Published in:

Phys.Rev.D 103 (2021) 12, 124059

Published: Jun 15, 2021
and
Published: Jun 25, 2021

e-Print:

2102.06213 [gr-qc]

DOI:

10.1103/PhysRevD.103.124059 (publication)

Report number:

ZTF-EP-21-02; RBI-ThPhys-2021-6

View in:

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Abstract: (APS)

As the interaction between the black holes and highly energetic infalling charged matter receives quantum corrections, the basic laws of black hole mechanics have to be carefully rederived. Using the covariant phase space formalism, we generalize the first law of black hole mechanics, both “equilibrium state” and “physical process” versions, in the presence of nonlinear electrodynamics fields, defined by Lagrangians depending on both quadratic electromagnetic invariants,

F_{a b} F^{a b}

and

F_{a b} ⋆ F^{a b}

. Derivation of this law demands a specific treatment of the Lagrangian parameters, similar to embedding of the cosmological constant into thermodynamic context. Furthermore, we discuss the validity of energy conditions, several complementing proofs of the zeroth law of black hole electrodynamics, and some aspects of the recently generalized Smarr formula, its (non-)linearity and relation to the first law.

Note:

20 pages (two columns), 2 figures; ver.3: version accepted for publication in Physical Review D (several additional technical comments and references; one paragraph added to the "Discussion")

black hole: mechanics
electromagnetic field: nonlinear
black hole: thermodynamics
phase space: covariance
correction: quantum
cosmological constant
electromagnetic
thermodynamical
embedding
star

References(137)

Figures(0)

[1]

The Four laws of black hole mechanics

- Commun.Math.Phys. 31 (1973) 161-170
•
DOI:
- 10.1007/BF01645742

[2]

Black holes and entropy

Jacob D. Bekenstein
(
- Princeton U. and
- Texas U.
)

- Phys.Rev.D 7 (1973) 2333-2346
•
DOI:
- 10.1103/PhysRevD.7.2333

[3]

Generalized second law of thermodynamics in black hole physics

Jacob D. Bekenstein
(
- Texas U.
)

- Phys.Rev.D 9 (1974) 3292-3300
•
DOI:
- 10.1103/PhysRevD.9.3292

[4]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[4]

Particle Creation by Black Holes

S.W. Hawking
(
- Cambridge U., DAMTP and
- Caltech
)

- Commun.Math.Phys. 43 (1975) 199-220,
- Commun.Math.Phys. 46 (1976) 206 (erratum),
•
DOI:
- 10.1007/BF02345020

[5]

The thermodynamics of black holes

Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Living Rev.Rel. 4 (2001) 6
•
e-Print:
- gr-qc/9912119
•
DOI:
- 10.12942/lrr-2001-6

[6]

Black hole entropy is the Noether charge

Robert M. Wald
(
- Chicago U., EFI and
- Chicago U.
)

- Phys.Rev.D 48 (1993) 8, R3427-R3431
•
e-Print:
- gr-qc/9307038
•
DOI:
- 10.1103/PhysRevD.48.R3427

[7]

Black hole entropy in the presence of Chern-Simons terms

Yuji Tachikawa
(
- Princeton, Inst. Advanced Study
)

- Class.Quant.Grav. 24 (2007) 737-744
•
e-Print:
- hep-th/0611141
•
DOI:
- 10.1088/0264-9381/24/3/014

[8]

Gravitational Chern-Simons Lagrangians and black hole entropy

L. Bonora
(
- SISSA, Trieste and
- Kyoto U., Yukawa Inst., Kyoto
)
,
M. Cvitan
(
- Zagreb U.
)
,
P. Dominis Prester
(
- Rijeka U.
)
,
S. Pallua
(
- Zagreb U.
)
,
I. Smolic
(
- SISSA, Trieste and
- Zagreb U.
)

- JHEP 07 (2011) 085
•
e-Print:
- 1104.2523
•
DOI:
- 10.1007/JHEP07(2011)085

[9]

On the quantum theory of the electromagnetic field

Max Born

- Proc.Roy.Soc.Lond.A 143 (1934) 849, 410-437
•
DOI:
- 10.1098/rspa.1934.0010

[10]

Foundations of the new field theory

M. Born
(
- Cambridge U.
)
,
L. Infeld
(
- Cambridge U.
)

- Proc.Roy.Soc.Lond.A 144 (1934) 852, 425-451,
- J.Phys.Soc.Jap. 8 (1934) 8, 307-324
•
DOI:
- 10.1098/rspa.1934.0059

[11]

Nonlinear Electrodynamics from Quantized Strings

E.S. Fradkin
(
- Lebedev Inst.
)
,
Arkady A. Tseytlin
(
- Lebedev Inst.
)

- Phys.Lett.B 163 (1985) 123-130
•
DOI:
- 10.1016/0370-2693(85)90205-9

[12]

Born–Infeld action, supersymmetry and string theory

A.A. Tseytlin

[13]

Quantization and simulation of Born-Infeld non-linear electrodynamics on a lattice

J.B. Kogut
(
- Dept. of Energy, Wash., D.C. and
- Maryland U.
)
,
D.K. Sinclair
(
- Argonne
)

- Phys.Rev.D 73 (2006) 114508
•
e-Print:
- hep-lat/0603017
•
DOI:
- 10.1103/PhysRevD.73.114508

[14]

Consequences of Dirac's theory of positrons

W. Heisenberg
(
- Leipzig U.
)
,
H. Euler
(
- Leipzig U.
)

- Z.Phys. 98 (1936) 11-12, 714-732
•
e-Print:
- physics/0605038
•
DOI:
- 10.1007/BF01343663

[15]

Evidence for light-by-light scattering in heavy-ion collisions with the ATLAS detector at the LHC

ATLAS

Collaboration

•

Morad Aaboud
(
- Oujda U.
)

et al.

- Nature Phys. 13 (2017) 9, 852-858
•
e-Print:
- 1702.01625
•
DOI:
- 10.1038/nphys4208

[16]

Light-by-Light Scattering Constraint on Born-Infeld Theory

John Ellis
(
- King's Coll. London and
- CERN
)
,
Nick E. Mavromatos
(
- King's Coll. London
)
,
Tevong You
(
- Cambridge U., DAMTP
)

- Phys.Rev.Lett. 118 (2017) 26, 261802
•
e-Print:
- 1703.08450
•
DOI:
- 10.1103/PhysRevLett.118.261802

[17]

Constraining Born–Infeld-like nonlinear electrodynamics using hydrogen’s ionization energy

- Eur.Phys.J.C 78 (2018) 2, 143
•
e-Print:
- 1712.05486
•
DOI:
- 10.1140/epjc/s10052-018-5643-1

[18]

Constraining nonlinear corrections to Maxwell electrodynamics using $\gamma\gamma$ scattering

- Phys.Rev.D 99 (2019) 11, 115005
•
e-Print:
- 1809.01296
•
DOI:
- 10.1103/PhysRevD.99.115005

[19]

Magnetic and electric properties of quantum vacuum

R. Battesti
(
- LNCMP, Toulouse
)
,
C. Rizzo
(
- LNCMP, Toulouse
)

- Rept.Prog.Phys. 76 (2013) 1, 016401
•
e-Print:
- 1211.1933
•
DOI:
- 10.1088/0034-4885/76/1/016401

[20]

Limits on nonlinear electrodynamics

M Fouché
(
- Nice, Inst. Nonlineaire
)
,
R Battesti
(
- LNCMI, Toulouse
)
,
C Rizzo
(
- LNCMI, Toulouse
)

- Phys.Rev.D 93 (2016) 9, 093020,
- Phys.Rev.D 95 (2017) 9, 099902 (erratum)
•
e-Print:
- 1605.04102
•
DOI:
- 10.1103/PhysRevD.93.093020

[21]

Observational constraints on electromagnetic Born-Infeld cosmology

- JCAP 10 (2012) 013
•
e-Print:
- 1209.2107
•
DOI:
- 10.1088/1475-7516/2012/10/013

[22]

Probing nonlinear electrodynamics in slowly rotating spacetimes through neutrino astrophysics

Herman J. Mosquera Cuesta
(
- Colombia, U. Natl. and
- IFMT, Caceres
)
,
Gaetano Lambiase
(
- Salerno U. and
- INFN, Salerno
)
,
Jonas P. Pereira
(
- ABC Federal U.
)

- Phys.Rev.D 95 (2017) 2, 025011
•
e-Print:
- 1701.00431
•
DOI:
- 10.1103/PhysRevD.95.025011

[23]

SCALAR, ELECTROMAGNETIC, AND GRAVITATIONAL FIELDS INTERACTION: PARTICLE - LIKE SOLUTIONS

- Annals Phys. 118 (1979) 84-107
•
DOI:
- 10.1016/0003-4916(79)90235-5

[24]

Regular magnetic black holes and monopoles from nonlinear electrodynamics

Kirill A. Bronnikov
(
- Moscow, Gravitation Metrology Ctr. and
- Inst. Grav. Cosmology, Moscow
)

- Phys.Rev.D 63 (2001) 044005
•
e-Print:
- gr-qc/0006014
•
DOI:
- 10.1103/PhysRevD.63.044005

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