Topology of black hole thermodynamics in Gauss-Bonnet gravity

Yerra, Pavan Kumar; Bhamidipati, Chandrasekhar

doi:10.1103/physrevd.105.104053

Cited by 83 publications

(30 citation statements)

References 45 publications

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“…Note that the topological number W still stays the same if the pressure takes another arbitrary value. Additionally, similar to the results given above for the RN-NUT spacetime and KN-NUT spacetime, it also gives a counterexample that significantly differs from the conclusions reached in all prior works [52][53][54][55][56][57][58][59][60][61], which state that a black hole solution only has one certain topological number, independent of the values of the solution parameters.…”

Section: Rn-nut-ads Spacetimesupporting

confidence: 75%

“…Thus, the whole class of four-dimensional NUTcharged spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach. Furthermore, the RN-NUT spacetime, KN-NUT spacetime, and RN-NUT-AdS spacetime provide three counterexamples that significantly differs from the conclusions reached in all prior works [52][53][54][55][56][57][58][59][60][61], which conclude that a black hole solution only has one definite topological number, independent of the values of the solution parameters.…”

Section: Conclusion and Outlooksmentioning

confidence: 53%

“…Based on the local property of the zero points, for the RN-NUT spacetime, we have the topological number W = −1 when the parameter values n > q, and W = 1 − 1 = 0 when n ≤ q. Thus, it provides the first example violates the consensus in all previous works [52][53][54][55][56][57][58][59][60][61] that one black hole solution has only one definite topological number, regardless of the values of the solution parameters. In addition, since the topological number of the Taub-NUT spacetime is −1, while that of RN-NUT spacetimes is −1 or 0, it implies that the electric charge parameter has an important effect on the topological number for the neutral static Taub-NUT spacetime.…”

mentioning

confidence: 69%

“…Because of its simplicity and easy maneuverability of the procedure, the thermodynamic topological approach proposed in Ref. [52] soon attracted a great deal of attention and was then successfully applied to investigate the topological numbers of some known black hole solutions [53][54][55][56][57][58][59][60][61]. It is natural to study the topological numbers of NUT-charged spacetimes to determine whether they are black holes.…”

Section: Introductionmentioning

confidence: 99%

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Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Wu¹

2023

Preprint

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In this paper, employing the uniform modified form of the generalized offshell Helmholtz free energy, we investigate the topological numbers for the whole class of four-dimensional NUT-charged spacetimes. We find that, while the topological numbers of almost all four-dimensional NUT-charged spacetimes (except the Taub-NUT spacetime and Kerr-NUT spacetime) vary depending on the values of the solution parameters, the entire class of four-dimensional NUT-charged spacetime solutions can still be classified as one of the three types of well-known black hole solutions. Thus, the whole class of four-dimensional NUT-charged spacetimes should be viewed as generic black holes from the viewpoint of the thermodynamic topological approach. Furthermore, the fourdimensional Reissner-Nordström-Taub-NUT (RN-NUT) spacetime, Kerr-Newman-NUT (KN-NUT) spacetime, and RN-NUT-AdS spacetime provide three counterexamples that are in sharp contrast to the conclusions reached in all previous works, which conclude that a black hole solution only has one certain topological number, independent of the values of the solution parameters. What is more, these topological numbers could help us unravel the mysteries of NUT-charged spacetimes with their so many peculiar properties and shed new light on the research of black hole thermodynamics.

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Section: Rn-nut-ads Spacetimesupporting

confidence: 75%

Section: Conclusion and Outlooksmentioning

confidence: 53%

mentioning

confidence: 69%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Wu¹

2023

Preprint

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“…In recent years, topology as an important mathematical tool has been applied to various research fields in physics. As one of the most fundamental and fascinating objects in nature, the black hole has been the subject of extensive research, among which the study of black hole topology has shed new light on the nature of gravity through light rings [1][2][3][4], timelike circular orbits [5], and thermodynamic properties [6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Topological classes of thermodynamics of rotating AdS black holes

Wu¹

2023

Preprint

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In this paper, we investigate the topological numbers for the singly-rotating Kerr-AdS black holes in all dimensions and the four-dimensional Kerr-Newman-AdS black hole. We show that for uncharged AdS black holes, the rotation parameter has a significant impact on the topological number, and for rotating AdS black holes, the dimension of spacetimes has an important effect on the topological number. In addition, it indicates that the electric charge parameter has no impact on the topological number of rotating AdS black holes because of the four-dimensional Kerr-AdS and Kerr-Newman-AdS black holes have the same topological numbers. Furthermore, we propose a conjecture that, given an AdS black hole, the difference between its topological number and that of its corresponding non-AdS black hole is always unity.

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Revisiting thermodynamic topologies of black holes

Fang

Jiang

Zhang

2023

J. High Energ. Phys.

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In the generalized off-shell free energy landscape, black holes can be treated as thermodynamic topological defects. The local topological properties of the spacetime can be reflected by the winding numbers at the defects, while the global topological nature can be classified by the topological number which is the sum of all local winding numbers. We propose that the winding numbers can be calculated via the residues of isolated one-order pole points of characterized functions constructed from the off-shell free energy. Using the residue method, we show that the topologies of black holes can be divided into three classes with the topological numbers being -1, 0, and 1, respectively, being consistent with the results obtained in [Phys. Rev. Lett. 129, 191101 (2022)] by using the topological current method. Moreover, we point out that standard defect points, generation and annihilation points, and critical points can be distinguished by coefficients of the Laurent series of the off-shell characterized function at those singular points.

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Topology of black hole thermodynamics in Gauss-Bonnet gravity

Cited by 83 publications

References 45 publications

Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Classifying topology of consistent thermodynamics of four-dimensional Lorentzian NUT-charged spacetimes

Topological classes of thermodynamics of rotating AdS black holes

Revisiting thermodynamic topologies of black holes

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