Lagrangian formulation of the Tsallis entropy - INSPIRE

DataBETA

Lagrangian formulation of the Tsallis entropy

Rocco D'Agostino
(
- SSM, Naples and
- INFN, Naples
)
,
Giuseppe Gaetano Luciano
(
- Lleida U.
)

Aug 24, 2024

6 pages

Published in:

Phys.Lett.B 857 (2024) 138987

Published: Aug 28, 2024

e-Print:

2408.13638 [gr-qc]

DOI:

10.1016/j.physletb.2024.138987 (publication)

View in:

ADS Abstract Service

reference search5 citations

Citations per year

Abstract: (Elsevier B.V.)

We investigate the gravitational origin of the Tsallis entropy, characterized by the nonadditive index δ. Utilizing Wald's formalism within the framework of

f (R)

modified theories of gravity, we evaluate the entropy on the black hole horizon for constant curvature solutions to the spherically symmetric vacuum field equations. In so doing, we demonstrate that the Tsallis entropy can be effectively derived from a generalization of the Lagrangian

L \propto R^{1 + ϵ}

, where

ϵ = δ - 1

quantifies small deviations from general relativity. In conclusion, we examine the physical implications of our findings in light of cosmological observations and elaborate on the possibility of solving the thermodynamic instability of Schwarzschild black holes.

Note:

8 pages. Accepted for publication in Physics Letters B

References(91)

Figures(0)

[1]

L. Landau
,
E. Lifshitz

[2]

J. Gibbs

[3]

K.F. Ogorodnikov

- Sov.Astron. 1 (1957) 748

[4]

Statistical mechanics of violent relaxation in stellar systems

Donald Lynden-Bell

- Mon.Not.Roy.Astron.Soc. 136 (1967) 101-121

[5]

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

[6]

Black hole explosions

S.W. Hawking
(
- Cambridge U.
)

- Nature 248 (1974) 30-31
•
DOI:
- 10.1038/248030a0

[7]

On the Quantum Structure of a Black Hole

Gerard 't Hooft
(
- Utrecht U.
)

- Nucl.Phys.B 256 (1985) 727-745
•
DOI:
- 10.1016/0550-3213(85)90418-3

[8]

String theory and the principles of black hole complementarity

Leonard Susskind
(
- Stanford U., Phys. Dept.
)

- Phys.Rev.Lett. 71 (1993) 2367-2368
•
e-Print:
- hep-th/9307168
•
DOI:
- 10.1103/PhysRevLett.71.2367

[9]

Entropy and area

Mark Srednicki
(
- UC, Berkeley, CfPA and
- LBL, Berkeley
)

- Phys.Rev.Lett. 71 (1993) 666-669
•
e-Print:
- hep-th/9303048
•
DOI:
- 10.1103/PhysRevLett.71.666

[10]

Microscopic origin of the Bekenstein-Hawking entropy

Andrew Strominger
(
- UC, Santa Barbara
)
,
Cumrun Vafa
(
- Harvard U.
)

- Phys.Lett.B 379 (1996) 99-104
•
e-Print:
- hep-th/9601029
•
DOI:
- 10.1016/0370-2693(96)00345-0

[11]

Possible Generalization of Boltzmann-Gibbs Statistics

Constantino Tsallis
(
- Rio de Janeiro, CBPF
)

- J.Statist.Phys. 52 (1988) 479-487
•
DOI:
- 10.1007/BF01016429

[12]

The Nonadditive Entropy Sq and Its Applications in Physics and Elsewhere: Some Remarks

Constantino Tsallis

- Entropy 13 (2011) 10, 1765-1804
•
DOI:
- 10.3390/e13101765

[13]

Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems

M.L. Lyra
(
- Alagoas U.
)
,
C. Tsallis
(
- Rio de Janeiro, CBPF
)

- Phys.Rev.Lett. 80 (1998) 53-56
•
e-Print:
- cond-mat/9709226
•
DOI:
- 10.1103/PhysRevLett.80.53

[14]

Nonextensive Tsallis statistics in Unruh effect for Dirac neutrinos

Giuseppe Gaetano Luciano
(
- Salerno U. and
- INFN, Salerno
)
,
Massimo Blasone
(
- Salerno U. and
- INFN, Salerno
)

- Eur.Phys.J.C 81 (2021) 11, 995
•
e-Print:
- 2107.11402
•
DOI:
- 10.1140/epjc/s10052-021-09797-z

[15]

q-generalized Tsallis thermostatistics in Unruh effect for mixed fields

Giuseppe Gaetano Luciano
(
- Salerno U. and
- INFN, Salerno
)
,
Massimo Blasone
(
- Salerno U. and
- INFN, Salerno
)

- Phys.Rev.D 104 (2021) 4, 045004
•
e-Print:
- 2104.00395
•
DOI:
- 10.1103/PhysRevD.104.045004

[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]

New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations

Everton M.C. Abreu
(
)
,
Jorge Ananias Neto
(
- Juiz de Fora U.
)
,
Albert C.R. Mendes
(
- Juiz de Fora U.
)
,
Wilson Oliveira
(
- Juiz de Fora U.
)

- Physica A 392 (2013) 5154-5163
•
e-Print:
- 1204.2005
•
DOI:
- 10.1016/j.physa.2013.06.047

[18]

Modified Friedmann Equations from Tsallis Entropy

Ahmad Sheykhi
(
- Shiraz U. and
- RIAAM, Maragha
)

- Phys.Lett.B 785 (2018) 118-126
•
e-Print:
- 1806.03996
•
DOI:
- 10.1016/j.physletb.2018.08.036

[19]

Modified cosmology through nonextensive horizon thermodynamics

Andreas Lymperis
(
- Patras U.
)
,
Emmanuel N. Saridakis
(
- Natl. Tech. U., Athens and
- Baylor U.
)

- Eur.Phys.J.C 78 (2018) 12, 993
•
e-Print:
- 1806.04614
•
DOI:
- 10.1140/epjc/s10052-018-6480-y

[20]

Dark energy models through nonextensive Tsallis’ statistics

Edésio M. Barboza, Jr.
(
- Rio Grande do Norte U.
)
,
Rafael da C. Nunes
(
- Barcelona, IFAE and
- Brasilia U.
)
,
Everton M.C. Abreu
(
- Rio de Janeiro Rural U. and
- Juiz de Fora U.
)
,
Jorge Ananias Neto
(
- Juiz de Fora U.
)

- Physica A 436 (2015) 301-310
•
e-Print:
- 1403.5706
•
DOI:
- 10.1016/j.physa.2015.05.002

[21]

Tsallis Holographic Dark Energy

M. Tavayef
(
- Biruni Observ.
)
,
A. Sheykhi
(
- Biruni Observ. and
- RIAAM, Maragha
)
,
Kazuharu Bamba
(
- Fukushima U.
)
,
H. Moradpour
(
- RIAAM, Maragha
)

- Phys.Lett.B 781 (2018) 195-200
•
e-Print:
- 1804.02983
•
DOI:
- 10.1016/j.physletb.2018.04.001

[22]

Generalized entropy formalism and a new holographic dark energy model

A. Sayahian Jahromi
(
- Islamic Azad U., Iran
)
,
S.A. Moosavi
(
- RIAAM, Maragha
)
,
H. Moradpour
(
- RIAAM, Maragha
)
,
J.P. Morais Graça
(
- Sao Carlos Federal U.
)
,
I.P. Lobo
(
- Sao Carlos Federal U.
)

et al.

- Phys.Lett.B 780 (2018) 21-24
•
e-Print:
- 1802.07722
•
DOI:
- 10.1016/j.physletb.2018.02.052

[23]

Holographic dark energy through Tsallis entropy

Emmanuel N. Saridakis
(
)
,
Kazuharu Bamba
(
- Fukushima U.
)
,
R. Myrzakulov
(
- Eurasian Nat. U., Astana
)
,
Fotios K. Anagnostopoulos
(
- Athens U.
)

- JCAP 12 (2018) 012
•
e-Print:
- 1806.01301
•
DOI:
- 10.1088/1475-7516/2018/12/012

[24]

Holographic dark energy from nonadditive entropy: cosmological perturbations and observational constraints

Rocco D'Agostino
(
- INFN, Rome2
)

- Phys.Rev.D 99 (2019) 10, 103524
•
e-Print:
- 1903.03836
•
DOI:
- 10.1103/PhysRevD.99.103524

[25]

Cosmic evolution and thermal stability of Barrow holographic dark energy in a nonflat Friedmann-Robertson-Walker Universe

Giuseppe Gaetano Luciano
(
- Lleida U. and
- INFN, Salerno
)

- Phys.Rev.D 106 (2022) 8, 083530
•
e-Print:
- 2210.06320
•
DOI:
- 10.1103/PhysRevD.106.083530

1-25 of 91
1
2
3
4
25 / page