The geometry of black hole thermodynamics in Gauss–Bonnet theory

Chakraborty, Subenoy; Bandyopadhyay, Tanwi

doi:10.1088/0264-9381/25/24/245015

Cited by 15 publications

(23 citation statements)

References 21 publications

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“…Therefore, there will be a phase transition at u = u 1 . Note that for = 0 the above results become very simple,the flat Ruppeiner metric and the results are in agreement with those of [32]. Finally, we conclude that the Ruppeiner geometry is very important for studying fluctuation theory in black hole thermodynamics.…”

Section: Geometric Approach Of Black Hole Thermodynamicssupporting

confidence: 84%

The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory

Biswas

Chakraborty

2009

Gen Relativ Gravit

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In this paper, we have studied the geometry of the five-dimensional black hole solutions in (a) Einstein-Yang-Mills-Gauss-Bonnet theory and (b) EinsteinMaxwell-Gauss-Bonnet theory with a cosmological constant for spherically symmetric space time. Formulating the Ruppeiner metric, we have examined the possible phase transition for both the metrics. It is found that depending on some restrictions phase transition is possible for the black holes. Also for = 0 in Einstein-Gauss-Bonnet black hole, the Ruppeiner metric becomes flat and hence the black hole becomes a stable one.

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Section: Geometric Approach Of Black Hole Thermodynamicssupporting

confidence: 84%

The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory

Biswas

Chakraborty

2009

Gen Relativ Gravit

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“…The gravitational and electromagnetic field equations are obtained by varying the above action with respect to g µν and A µ (see [42]),…”

Section: Neutrino Oscillation In Einstein-maxwell-gauss-bonnet Gravitymentioning

confidence: 99%

Constraining alternative gravity theories using the solar neutrino problem

Chakraborty

2014

Class. Quantum Grav.

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Abstract. The neutrino flavor oscillation is studied in some classes of alternative gravity theories in a plane specified by θ = π/2, exploiting the spherical symmetry and general equations for oscillation phases are given. We first calculate the phase in a general static spherically symmetric model and then we discuss some spherically symmetric solutions in alternative gravity theories. Among them we discuss the effect of cosmological term in Schwarzschild-(anti)de Sitter solution, which is the vacuum solution in F (R) theory, the effect of charge and Gauss-Bonnet coupling parameter on the oscillation phase is presented. Finally we discuss a charged solution with spherical symmetry in F (R) theory and also its implication to the oscillation phase. We calculate the oscillation length and transition probability in these spherically symmetric spacetime and have presented a graphical representation for transition probability with various choice for parameters in our theory. From this we have constrained parameters appearing in these alternative theories using standard solar neutrino results.Constraining alternative gravity theories using the solar neutrino problem 2

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“…A particular solution which contains as a special case a black hole spacetime was obtained in [61] (see also [62][63][64][65]) by using the following 5D static spherically symmetric line element…”

Section: Spherically Symmetric Black Hole In Emgb Gravitymentioning

confidence: 99%

“…The thermodynamic geometry of this black hole was also studied in [61] using the Ruppeiner geometry. It turns out that the Ruppeiner metric is flat in this case and, consequently, cannot reproduce the behavior at the places where phase transitions occur or the temperature vanishes.…”

Section: Geometrothermodynamicsmentioning

confidence: 99%

Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

2012

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We investigate the thermodynamic properties of 5D static and spherically symmetric black holes in (i) Einstein-Maxwell-Gauss-Bonnet theory, (ii) EinsteinMaxwell-Gauss-Bonnet theory with negative cosmological constant, and in (iii) Einstein-Yang-Mills-Gauss-Bonnet theory. To formulate the thermodynamics of these black holes we use the Bekenstein-Hawking entropy relation and, alternatively, a modified entropy formula which follows from the first law of thermodynamics of black holes. The results of both approaches are not equivalent. Using the formalism of geometrothermodynamics, we introduce in the manifold of equilibrium states a Legendre invariant metric for each black hole and for each thermodynamic approach, and show that the thermodynamic curvature diverges at those points where the temperature vanishes and the heat capacity diverges.

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The geometry of black hole thermodynamics in Gauss–Bonnet theory

Abstract: In this work, the five-dimensional black hole solutions are presented in Einstein–Maxwell–Gauss–Bonnet theory. The geometry of the black hole thermodynamics has also been studied briefly.

Cited by 15 publications

References 21 publications

The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory

The geometry of the higher dimensional black hole thermodynamics in Einstein–Gauss–Bonnet theory

Constraining alternative gravity theories using the solar neutrino problem

Geometrothermodynamics of five dimensional black holes in Einstein–Gauss–Bonnet theory

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