2018
DOI: 10.1016/j.physletb.2018.05.005
|View full text |Cite
|
Sign up to set email alerts
|

Scalar charges and the first law of black hole thermodynamics

Abstract: We present a variational formulation of Einstein-Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then compute the finite gravitational action and corresponding Brown-York stress tensor. We show that the total energy has a new contribution that depends of the asymptotic value of the scalar field and discuss the role of scalar charges for the first law of thermodynamics. We also e… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
50
0

Year Published

2019
2019
2023
2023

Publication Types

Select...
7

Relationship

1
6

Authors

Journals

citations
Cited by 48 publications
(52 citation statements)
references
References 67 publications
0
50
0
Order By: Relevance
“…The problem with the drastic modification of the first law of (static) hairy black hole thermodynamics which contains the variation of φ ∞ has been considered. Following the idea of [63], where a boundary term for dilaton field was included in the action in the quasi-local formalism of mass, we considered the case that the effective action is also supplemented with a boundary term for dilaton. However, only the spherically symmetric solutions have been considered in [63].…”
Section: Resultsmentioning
confidence: 99%
See 2 more Smart Citations
“…The problem with the drastic modification of the first law of (static) hairy black hole thermodynamics which contains the variation of φ ∞ has been considered. Following the idea of [63], where a boundary term for dilaton field was included in the action in the quasi-local formalism of mass, we considered the case that the effective action is also supplemented with a boundary term for dilaton. However, only the spherically symmetric solutions have been considered in [63].…”
Section: Resultsmentioning
confidence: 99%
“…Following the idea of [63], where a boundary term for dilaton field was included in the action in the quasi-local formalism of mass, we considered the case that the effective action is also supplemented with a boundary term for dilaton. However, only the spherically symmetric solutions have been considered in [63]. We applied a similar discussion inspired by the proposed boundary term variation of dilaton in [79], where with vanishing φ ∞ , the D and C coefficients in the asymptotic expansion of the scalar field were required to be functionally related for integrability of energy.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Scalar fields usually affect the thermodynamic description of black holes -see e.g. [39] -and it would be interesting to explore whether this could modify the conclusions of [23]. The string coupling constant and the curvature can be kept sufficiently small in the exterior region of the black hole for the cases we have considered, hence the low energy field theory description gives a good approximate description of the system.…”
Section: Discussionmentioning
confidence: 99%
“…(7) is simply from the first law of black hole thermodynamics. Since the dilaton is a secondary hair, the dilaton charge [75] is a "redundant parameter" [76], which does not appear in the first law (see, however, related discussions [77,78]). It therefore suffices to consider the evolution of the primary hairs M and Q (see also [64]).…”
Section: The Evolution Of Hawking Evaporating Ghs Black Holesmentioning
confidence: 99%