Thermodynamics from field equations for charged radiating rotating black hole near horizon - INSPIRE

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Thermodynamics from field equations for charged radiating rotating black hole near horizon

Uma Papnoi
(
- Gurukula Kangri U., Haridwar and
- Rajasthan U.
)
,
Sushant G. Ghosh
(
- Jamia Millia Islamia and
- KwaZulu Natal U.
)

Jun 22, 2020

9 pages

Published in:

Int.J.Mod.Phys.A 35 (2020) 19, 2050092

Published: Jun 22, 2020

DOI:

10.1142/S0217751X2050092X

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Abstract: (WSP)

It is well known that near horizon black hole space–times show a resemblance to thermodynamic systems, it is easy to associate the thermodynamic parameters like temperature and entropy with them. In this paper, we study the connection between gravitational dynamics of the horizon and thermodynamics for the case of charged radiating rotating axially symmetric black holes. It is shown that Einstein field equation near apparent horizon can be interpreted in the form of thermodynamic law, i.e. TdS = dM(v) − ΩHdJ − ΦdQ(v).

04.30.-w
04.50.Gh
Black hole
thermodynamics
black hole: horizon
black hole: rotation
space-time: black hole
thermodynamics
field equations
gravitation

References(56)

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[1]

The Four laws of black hole mechanics

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

[2]

Vacuum quantum fluctuations in curved space and the theory of gravitation

A.D. Sakharov
(
- Lebedev Inst.
)

- Sov.Phys.Dokl. 12 (1968) 1040-1041,
- Dokl.Akad.Nauk Ser.Fiz. 177 (1967) 70-71,
- Sov.Phys.Usp. 34 (1991) 5, 394,
- Gen.Rel.Grav. 32 (2000) 365-367,
- Usp.Fiz.Nauk 161 (1991) 5, 64-66,
•
DOI:
- 10.1070/PU1991v034n05ABEH002498

[3]

Is gravity an intrinsically quantum phenomenon? Dynamics of gravity from the entropy of space-time and the principle of equivalence

T. Padmanabhan
(
- IUCAA, Pune
)

- Mod.Phys.Lett.A 17 (2002) 1147-1158
•
e-Print:
- hep-th/0205278
•
DOI:
- 10.1142/S0217732302007260

[4]

Gravity as elasticity of spacetime: A Paradigm to understand horizon thermodynamics and cosmological constant

T. Padmanabhan
(
- IUCAA, Pune
)

- Int.J.Mod.Phys.D 13 (2004) 2293-2298
•
e-Print:
- gr-qc/0408051
•
DOI:
- 10.1142/S0218271804006358

[5]

Link, ISI

T. Padmanabhan

- Int.J.Mod.Phys.D 18 (2003) 2903

[6]

Gravitational entropy of static space-times and microscopic density of states

T. Padmanabhan
(
- IUCAA, Pune
)

- Class.Quant.Grav. 21 (2004) 4485-4494
•
e-Print:
- gr-qc/0308070
•
DOI:
- 10.1088/0264-9381/21/18/013

[7]

Superfluid analogies of cosmological phenomena

G.E. Volovik
(
- Helsinki U. of Tech. and
- Landau Inst.
)

- Phys.Rept. 351 (2001) 195-348
•
e-Print:
- gr-qc/0005091
•
DOI:
- 10.1016/S0370-1573(00)00139-3

[8]

Sakharov's induced gravity: A Modern perspective

Matt Visser
(
- Washington U., St. Louis
)

- Mod.Phys.Lett.A 17 (2002) 977-992
•
e-Print:
- gr-qc/0204062
•
DOI:
- 10.1142/S0217732302006886

[9]

Einstein gravity as an emergent phenomenon?

Carlos Barcelo
(
- Washington U., St. Louis
)
,
Matt Visser
(
- Washington U., St. Louis
)
,
Stefano Liberati
(
- Maryland U.
)

- Int.J.Mod.Phys.D 10 (2001) 799-806
•
e-Print:
- gr-qc/0106002
•
DOI:
- 10.1142/S0218271801001591

[10]

Vacuum Energy: Myths and Reality

G.E. Volovik
(
- Helsinki U. of Tech. and
- Landau Inst.
)

- Int.J.Mod.Phys.D 15 (2006) 1987-2010
•
e-Print:
- gr-qc/0604062
•
DOI:
- 10.1142/S0218271806009431

[11]

Gravity: The inside story

T. Padmanabhan
(
- IUCAA, Pune
)

- Gen.Rel.Grav. 40 (2008) 2031-2036,
- Int.J.Mod.Phys.D 17 (2009) 2585-2591
•
DOI:
- 10.1142/S0218271808014114

[12]

Dark Energy and its Implications for Gravity

T. Padmanabhan
(
- IUCAA, Pune
)

- Adv.Sci.Lett. 2 (2009) 174
•
e-Print:
- 0807.2356
•
DOI:
- 10.1166/asl.2009.1024

[13]

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

[14]

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

[15]

Gravity and the thermodynamics of horizons

T. Padmanabhan
(
- IUCAA, Pune
)

- Phys.Rept. 406 (2005) 49-125
•
e-Print:
- gr-qc/0311036
•
DOI:
- 10.1016/j.physrep.2004.10.003

[16]

Thermodynamics of space-time: The Einstein equation of state

Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.Lett. 75 (1995) 1260-1263
•
e-Print:
- gr-qc/9504004
•
DOI:
- 10.1103/PhysRevLett.75.1260

[17]

Thermodynamics and / of horizons: A Comparison of Schwarzschild, Rindler and de Sitter space-times

T. Padmanabhan
(
- IUCAA, Pune
)

- Mod.Phys.Lett.A 17 (2002) 923-942
•
e-Print:
- gr-qc/0202078
•
DOI:
- 10.1142/S021773230200751X

[18]

Classical and quantum thermodynamics of horizons in spherically symmetric space-times

T. Padmanabhan
(
- IUCAA, Pune
)

- Class.Quant.Grav. 19 (2002) 5387-5408
•
e-Print:
- gr-qc/0204019
•
DOI:
- 10.1088/0264-9381/19/21/306

[19]

Dark energy: mystery of the millennium

T. Padmanabhan
(
- IUCAA, Pune
)

- AIP Conf.Proc. 861 (2006) 1, 179-196
•
e-Print:
- astro-ph/0603114
•
DOI:
- 10.1063/1.2399577

[20]

Unified first law and thermodynamics of apparent horizon in FRW universe

- Phys.Rev.D 75 (2007) 064008
•
e-Print:
- gr-qc/0611071
•
DOI:
- 10.1103/PhysRevD.75.064008

[21]

Thermodynamics of Apparent Horizon in Brane World Scenario

- Nucl.Phys.B 785 (2007) 135-148
•
e-Print:
- hep-th/0612144
•
DOI:
- 10.1016/j.nuclphysb.2007.06.016

[22]

The Holography of gravity encoded in a relation between entropy, horizon area and action for gravity

T. Padmanabhan
(
- IUCAA, Pune
)

- Gen.Rel.Grav. 34 (2002) 2029-2035
•
e-Print:
- gr-qc/0205090
•
DOI:
- 10.1023/A:1021171015146

[23]

Thermodynamical properties of apparent horizon in warped DGP braneworld

Ahmad Sheykhi
(
- Fudan U. and
- Shiraz U. and
- Biruni Observ.
)
,
Bin Wang
(
- Fudan U.
)
,
Rong-Gen Cai
(
- Beijing, Inst. Theor. Phys.
)

- Nucl.Phys.B 779 (2007) 1-12
•
e-Print:
- hep-th/0701198
•
DOI:
- 10.1016/j.nuclphysb.2007.04.028

[24]

Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld

Ahmad Sheykhi
(
- Fudan U. and
- Shiraz U. and
- Biruni Observ.
)
,
Bin Wang
(
- Fudan U.
)
,
Rong-Gen Cai
(
- Beijing, Inst. Theor. Phys.
)

- Phys.Rev.D 76 (2007) 023515
•
e-Print:
- hep-th/0701261
•
DOI:
- 10.1103/PhysRevD.76.023515

[25]

Einstein's equations as a thermodynamic identity: The cases of stationary axisymmetric horizons and evolving spherically symmetric horizons

- Phys.Lett.B 652 (2007) 338-342,
- Phys.Lett.B 652 (2007) 338-342
•
e-Print:
- gr-qc/0701002
•
DOI:
- 10.1016/j.physletb.2007.07.021

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