On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action - INSPIRE

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On the thermodynamics of the black holes of the Cano-Ruipérez 4-dimensional string effective action

Tomás Ortín
(
- Madrid, IFT
)
,
Matteo Zatti
(
- Madrid, IFT and
- Garching, Max Planck Inst., MPE
)

Nov 15, 2024

23 pages

e-Print:

2411.10417 [hep-th]

Report number:

IFT-UAM/CSIC-24-160,
MPP-2024-221

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Abstract: (arXiv)

The Cano-Ruipérez 4-dimensional string effective action is the simplest consistent truncation of the first-order in

\alpha'

heterotic string effective action compactified on T

^{6}

. This theory contains, on top of the metric, a dilaton and an axion that couple to the Gauss-Bonnet term and to the Pontrjagin density which suggests a very strong relation between the physical and geometrical properties of its solutions. In this paper we study the thermodynamics of the string black-hole solutions of this theory using Wald's formalism. We construct the on-shell closed generalized Komar, dilaton and axion 2-form charges, and we used them to find the Smarr formula (that we test on the Schwarzschild and Kerr solutions) and to prove no-(primary)-hair theorems for the scalar. We find that

\alpha'

plays the role of a thermodynamical variable with an associated chemical potential. We also notice the occurrence of non-standard gravitational charges in the Wald entropy and scalar charges.

Note:

23 pages + appendices

References(35)

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[1]

String gravity in D=4

Pablo A. Cano
(
- Leuven U.
)
,
Alejandro Ruipérez
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)

- Phys.Rev.D 105 (2022) 4, 044022
•
e-Print:
- 2111.04750
•
DOI:
- 10.1103/PhysRevD.105.044022

[2]

The Quartic Effective Action of the Heterotic String and Supersymmetry

E.A. Bergshoeff
(
- CERN
)
,
M. de Roo
(
- Groningen U.
)

- Nucl.Phys.B 328 (1989) 439-468
•
DOI:
- 10.1016/0550-3213(89)90336-2

[3]

Gravity and strings

T. Ortín

[4]

Covariant generalized conserved charges of General Relativity

Carmen Gómez-Fayrén
(
- Madrid, IFT
)
,
Patrick Meessen
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Tomás Ortín
(
- Madrid, IFT
)

- JHEP 09 (2023) 174
•
e-Print:
- 2307.04041
•
DOI:
- 10.1007/JHEP09(2023)174

[5]

Extreme and Intermediate-Mass Ratio Inspirals in Dynamical Chern-Simons Modified Gravity

Carlos F. Sopuerta
(
- ICE, Bellaterra
)
,
Nicolas Yunes
(
- Princeton U.
)

- Phys.Rev.D 80 (2009) 064006
•
e-Print:
- 0904.4501
•
DOI:
- 10.1103/PhysRevD.80.064006

[6]

Topology, entropy and Witten index of dilaton black holes

- Phys.Rev.D 51 (1995) 2839-2862
•
e-Print:
- hep-th/9407118
•
DOI:
- 10.1103/PhysRevD.51.2839

[7]

Local symmetries and constraints

J. Lee
(
- Chicago U., EFI
)
,
Robert M. Wald
(
- Chicago U., EFI
)

- J.Math.Phys. 31 (1990) 725-743
•
DOI:
- 10.1063/1.528801

[8]

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

[9]

Some properties of Noether charge and a proposal for dynamical black hole entropy

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

- Phys.Rev.D 50 (1994) 846-864
•
e-Print:
- gr-qc/9403028
•
DOI:
- 10.1103/PhysRevD.50.846

[10]

Komar Integrals in Higher (and Lower) Derivative Gravity

David Kastor
(
- Massachusetts U., Amherst
)

- Class.Quant.Grav. 25 (2008) 175007
•
e-Print:
- 0804.1832
•
DOI:
- 10.1088/0264-9381/25/17/175007

[11]

Smarr Formula and an Extended First Law for Lovelock Gravity

David Kastor
(
- Massachusetts U., Amherst
)
,
Sourya Ray
(
- CECS, Valdivia
)
,
Jennie Traschen
(
- Massachusetts U., Amherst
)

- Class.Quant.Grav. 27 (2010) 235014
•
e-Print:
- 1005.5053
•
DOI:
- 10.1088/0264-9381/27/23/235014

[12]

Smarr Formula for Lovelock Black Holes: a Lagrangian approach

Stefano Liberati
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Costantino Pacilio
(
- SISSA, Trieste and
- INFN, Trieste
)

- Phys.Rev.D 93 (2016) 8, 084044
•
e-Print:
- 1511.05446
•
DOI:
- 10.1103/PhysRevD.93.084044

[13]

Komar integrals for theories of higher order in the Riemann curvature and black-hole chemistry

Tomás Ortín
(
- Madrid, IFT
)

- JHEP 08 (2021) 023
•
e-Print:
- 2104.10717
•
DOI:
- 10.1007/JHEP08(2021)023

[14]

Komar integral and Smarr formula for axion-dilaton black holes versus S duality

- JHEP 08 (2021) 019
•
e-Print:
- 2106.07495
•
DOI:
- 10.1007/JHEP08(2021)019

[15]

First law of black hole thermodynamics and Smarr formula with a cosmological constant

- Phys.Rev.D 104 (2021) 4, 044024
•
e-Print:
- 2103.10983
•
DOI:
- 10.1103/PhysRevD.104.044024

[16]

Black hole chemistry, the cosmological constant and the embedding tensor

Patrick Meessen
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Dimitrios Mitsios
(
- Madrid, IFT and
- IPhT, Saclay
)
,
Tomás Ortín
(
- Madrid, IFT
)

- JHEP 12 (2022) 155
•
e-Print:
- 2203.13588
•
DOI:
- 10.1007/JHEP12(2022)155

[17]

The first law of black hole mechanics in the Einstein-Maxwell theory revisited

Zachary Elgood
(
- Madrid, IFT
)
,
Patrick Meessen
(
- Oviedo U. and
- ICTEA, Oviedo
)
,
Tomás Ortín
(
- Madrid, IFT
)

- JHEP 09 (2020) 026
•
e-Print:
- 2006.02792
•
DOI:
- 10.1007/JHEP09(2020)026

[18]

The first law of heterotic stringy black hole mechanics at zeroth order in α′

- JHEP 07 (2021) 007
•
e-Print:
- 2012.13323
•
DOI:
- 10.1007/JHEP07(2021)007

[19]

The first law and Wald entropy formula of heterotic stringy black holes at first order in $\alpha'$

- JHEP 05 (2021) 110
•
e-Print:
- 2012.14892
•
DOI:
- 10.1007/JHEP05(2021)110

[20]

Non-extremal, α′-corrected black holes in 5-dimensional heterotic superstring theory

Pablo A. Cano
(
- Leuven U.
)
,
Tomás Ortín
(
- Madrid, IFT
)
,
Alejandro Ruipérez
(
- U. Padua, Dept. Phys. Astron. and
- INFN, Padua
)
,
Matteo Zatti
(
- Madrid, IFT
)

- JHEP 12 (2022) 150
•
e-Print:
- 2210.01861
•
DOI:
- 10.1007/JHEP12(2022)150

[21]

α $^{′}$ corrections to 4-dimensional non-extremal stringy black holes

Matteo Zatti
(
- Madrid, IFT and
- Madrid, Autonoma U.
)

- JHEP 11 (2023) 185
•
e-Print:
- 2308.12879
•
DOI:
- 10.1007/JHEP11(2023)185

[22]

Mass formula for Kerr black holes

Larry Smarr
(
- Texas U.
)

- Phys.Rev.Lett. 30 (1973) 71-73,
- Phys.Rev.Lett. 30 (1973) 521-521 (erratum)
•
DOI:
- 10.1103/PhysRevLett.30.71

[22]

Mass formula for Kerr black holes

Larry Smarr
(
- Texas U.
)

- Phys.Rev.Lett. 30 (1973) 71-73,
- Phys.Rev.Lett. 30 (1973) 521-521 (erratum)
•
DOI:
- 10.1103/PhysRevLett.30.71

[23]

Covariant conservation laws in general relativity

Arthur Komar
(
- Syracuse U.
)

- Phys.Rev. 113 (1959) 934-936
•
DOI:
- 10.1103/PhysRev.113.934

[24]

New formulations of D = 10 supersymmetry and D8 - O8 domain walls

Eric Bergshoeff
(
- Groningen U.
)
,
Renata Kallosh
(
- Stanford U., Phys. Dept.
)
,
Tomas Ortin
(
- Madrid, Autonoma U.
)
,
Diederik Roest
(
- Groningen U.
)
,
Antoine Van Proeyen
(
- Leuven U.
)

- Class.Quant.Grav. 18 (2001) 3359-3382
•
e-Print:
- hep-th/0103233
•
DOI:
- 10.1088/0264-9381/18/17/303

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