Thermodynamics of Horndeski black holes with non-minimal derivative coupling

Yan-Gang Miao; Zhen-Ming Xu

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Thermodynamics of Horndeski black holes with non-minimal derivative coupling

Yan-Gang Miao, Zhen-Ming Xu

High Energy Physics - Theory · Submitted 22 Jul 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena.

how it is stated · hedged possibility 0.89 read the record →

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What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.07 · mentions code or data availability 0.02.

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We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor. Our treatment is based on the well-accepted consideration, where the cosmological constant is dealt with as thermodynamic pressure and the mass of black holes as thermodynamic enthalpy. We resort to a newly introduced intensive thermodynamic variable, i.e., the coupling strength of the scalar and tensor whose dimension is length square, and thus yield both the generalized first law of thermodynamics and the generalized Smarr relation. Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena. Especially in the case of the presence of an electric field, these black holes undergo two phase transitions. Once the charge parameter exceeds its critical value, or the cosmological parameter does not exceed its critical value, no phase transitions happen and the black holes are stable. As a by-product, we point out that the coupling strength acts as the thermodynamic pressure in the behavior of thermodynamics.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor.	contribution 0.99	0.84	0.05	asserted 0.96
s1	Our treatment is based on the well-accepted consideration, where the cosmological constant is dealt with as thermodynamic pressure and the mass of black holes as thermodynamic enthalpy.	method 0.89	0.25	0.03	asserted 1.00
s2	We resort to a newly introduced intensive thermodynamic variable, i.e., the coupling strength of the scalar and tensor whose dimension is length square, and thus yield both the generalized first law of thermodynamics and the generalized Smarr relation.	method 0.68	0.94	0.11	asserted 1.00
s3	Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena.	result 0.73	0.89	0.47	hedged possibility 0.89
s4	Especially in the case of the presence of an electric field, these black holes undergo two phase transitions.	result 1.00	0.88	0.14	asserted 0.99
s5	Once the charge parameter exceeds its critical value, or the cosmological parameter does not exceed its critical value, no phase transitions happen and the black holes are stable.	result 0.96	0.87	0.14	asserted 1.00
s6	As a by-product, we point out that the coupling strength acts as the thermodynamic pressure in the behavior of thermodynamics.	result 0.70	0.91	0.11	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

We explore thermodynamic properties of a new class of Horndeski black holes whose action contains a non-minimal kinetic coupling of a massless real scalar and the Einstein tensor. Our treatment is based on the well-accepted consideration, where the cosmological constant is dealt with as thermodynamic pressure and the mass of black holes as thermodynamic enthalpy. We resort to a newly introduced intensive thermodynamic variable, i.e., the coupling strength of the scalar and tensor whose dimension is length square, and thus yield both the generalized first law of thermodynamics and the generalized Smarr relation. Our result indicates that this class of Horndeski black holes presents rich thermodynamic behaviors and critical phenomena. Especially in the case of the presence of an electric field, these black holes undergo two phase transitions. Once the charge parameter exceeds its critical value, or the cosmological parameter does not exceed its critical value, no phase transitions happen and the black holes are stable. As a by-product, we point out that the coupling strength acts as the thermodynamic pressure in the behavior of thermodynamics.

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11 arXiv papers cite this in 15 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 6 sentences without a confident label

Cites it as background 8 papers

Black holes solutions in a special Einstein-Horndeski gravity are derived in [ref] , while thermodynamics for black holes in Einstein-Horndeski is investigated in [ref] .

P-V criticality in the extended phase space of black holes in Einstein-Horndeski gravity · Introduction · 0.97
Hairy black holes in Horndeski gravity have also been widely constructed and analyzed, including the radially dependent scalar field [ref] and time-dependent scalar field [ref] .

Rings and images of Horndeski hairy black hole illuminated by various thin accretions · Introduction · 0.92
Therefore, the hairy black holes have been widely constructed and analyzed, including the radially dependent scalar field [ref] and time-dependent scalar field [ref] .

The effect of scalar hair on the charged black hole with the images from accretions disk · Introduction · 0.80

What it cites · 25 sentences without a confident label

Uses the method or tool of 5 papers

[ref] , one can regard the mass of black holes as the thermodynamic enthalpy, [equation] The Bekenstein-Hawking entropy is one-fourth of the event horizon area, [equation] and the thermodynamic temperature can be calculated to be [equation] When the thermodynamic pressure $P$ is regarded as [equation] the extensive variable conjugate to it, i.e., the thermodynamic volume $V$ has the form, [equation]

Enthalpy and the Mechanics of AdS Black Holes · Scenario without charge · 0.85
[ref] , one can regard the mass of black holes as the thermodynamic enthalpy, [equation] The Bekenstein-Hawking entropy is one-fourth of the event horizon area, [equation] and the thermodynamic temperature can be calculated to be [equation] When the thermodynamic pressure $P$ is regarded as [equation] the extensive variable conjugate to it, i.e., the thermodynamic volume $V$ has the form, [equation]

The cosmological constant and the black hole equation of state · Scenario without charge · 0.85
[ref] , one can regard the mass of black holes as the thermodynamic enthalpy, [equation] The Bekenstein-Hawking entropy is one-fourth of the event horizon area, [equation] and the thermodynamic temperature can be calculated to be [equation] When the thermodynamic pressure $P$ is regarded as [equation] the extensive variable conjugate to it, i.e., the thermodynamic volume $V$ has the form, [equation]

Pressure and volume in the first law of black hole thermodynamics · Scenario without charge · 0.85

Cites as background 20 papers

[ref] for the case of a negative cosmological constant.

Asymptotically locally AdS and flat black holes in Horndeski theory · Introduction · 0.86
[ref] for the case of a negative cosmological constant.

Solutions in the scalar-tensor theory with nonminimal derivative coupling · Introduction · 0.86
In particular, the thermodynamics of black holes in anti-de Sitter (AdS) spacetime [ref] has acquired great progress since the AdS/CFT duality plays a pivotal role in recent developments of theoretical physics [ref] .

Black Hole Thermodynamics · Introduction · 0.98

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