$R^{2}$ corrections to the black string instability and the boosted black string

Henríquez-Báez, Carla; Oliva, Julio; Oyarzo, Marcelo; Reyes, Marcel I. Yáñez

doi:10.48550/arxiv.2212.07296

Cited by 3 publications

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“…Note that this is a consistent result with the numerical analysis for D = 9 pure GB black strings, which shows the smaller threshold wavenumber than for GR [41,42]. Interestingly, this is contrary to the result in 5 ≤ D ≤ 8 where the instability needs larger k GL for small α [16,43], which implies a critical dimension on the α-dependence of k GL . To confirm such a critical dimension, one needs to know the NNLO correction to eq.…”

Section: Jhep02(2023)101supporting

confidence: 87%

Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D

Suzuki

Tomizawa

2023

J. High Energ. Phys.

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The phase and stability of black strings in the Einstein-Gauss-Bonnet (EGB) theory are investigated by using the large D effective theory approach. The spacetime metric and thermodynamics are derived up to the next-to-leading order (NLO) in the 1/D expansion. We find that the entropy current defined by the Iyer-Wald formula follows the second law. As in the Einstein theory, the entropy difference from the total mass produces an entropy functional for the effective theory. Including the NLO correction, we find that for the large Gauss-Bonnet coupling constant αGB, the Gregory-Laflamme instability of uniform black strings needs longer wavelength. Moreover, we show that the critical dimension, beyond which non-uiform black strings becomes more stable than uniform ones, increases as αGB becomes large, and approaches to a finite value for αGB→ ∞.

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Section: Jhep02(2023)101supporting

confidence: 87%

Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D

Suzuki

Tomizawa

2023

J. High Energ. Phys.

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“…In this approach, to compute a physical quantity at a required order in the small parameter, one usually has to first find perturbed solutions at the same order. The standard perturbative approach has been applied to study higher curvature corrections to black holes [1][2][3][4][5][6][7], black strings [8][9][10] and black branes [11]. This procedure however becomes increasingly complicated as the order increases.…”

Section: Jhep06(2023)087mentioning

confidence: 99%

Higher derivative contributions to black hole thermodynamics at NNLO

Pang

Lü

2023

J. High Energ. Phys.

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In an effective theory of gravity, thermodynamic quantities of black holes receive corrections from the infinite series of higher derivative terms. At the next to leading order, these can be obtained by using only the leading order solution. In this paper, we push forward this property to the next to next to leading order. We propose a formula which yields the Euclidean action of asymptotically flat black holes at the next to next to leading order using only the solution up to and including the next to leading order. Other conserved quantities are derived from the Euclidean action via standard thermodynamic relation. We verify our formula in examples of D-dimensional pure gravity and Einstein-Maxwell theory extended by 4- and 6-derivative terms. Based on our formula, we also prove that for asymptotically flat black holes, the physical quantities are invariant under field redefinitions.

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“…It would also be interesting to find an adequate van der Waals-type description of higher-derivative black holes and understand the effect of the central charges on the mean-field potential [76]. Subsequently, it would be fascinating to investigate the validity of this formalism for rotating black holes or black holes with scalar charges in higher-derivative theories [77][78][79], boosted black string [80], and quantum black hole [81,82].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Bulk-boundary thermodynamics of charged black holes in higher-derivative theory

Punia

2024

Eur. Phys. J. C

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The connection between bulk and boundary thermodynamics in Einstein–Maxwell theory is well established using AdS/CFT correspondence. In the context of general higher-derivative gravity coupled to a U(1) gauge field, we examine the resemblance of the first law of thermodynamics between bulk and boundary, followed by an extended phase space description on both sides. Higher-derivative terms related to different powers of the string theory parameter $$\alpha '$$ α ′ emerged from a consistent truncation in the bulk supergravity action. We demonstrate that one must include the fluctuation of $$\alpha '$$ α ′ in the bulk thermodynamics as a bookkeeping tool to match the bulk first law and Smarr relation with the boundary side. Consequently, the Euler relation and the boundary first law are altered by adding two central charges $$({\texttt{a}}, {\texttt{c}}).$$ ( a , c ) . To support our general conclusion, we consider the black hole in Gauss–Bonnet gravity and the general four-derivative theory. Finally, we examine the bulk and boundary aspects of the extended phase space description for higher-derivative-corrected black holes.

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$R^{2}$ corrections to the black string instability and the boosted black string

Cited by 3 publications

References 0 publications

Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D

Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D

Higher derivative contributions to black hole thermodynamics at NNLO

Bulk-boundary thermodynamics of charged black holes in higher-derivative theory

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