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Related papers: Extremal surfaces as bulk probes in AdS/CFT

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We shed some light on the field theory interpretation of C-metric by investigating the minimal surfaces which are homologous to the given boundary regions. The accelerating black holes change the asymptotic structure of the space-time. We…

High Energy Physics - Theory · Physics 2018-07-04 Hao Xu

We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities along a graph $\Gamma$. We impose physically relevant conditions on the cone singularities, e.g. positivity of mass (angle less…

Differential Geometry · Mathematics 2009-05-13 Thierry Barbot , Francesco Bonsante , Jean-Marc Schlenker

We study the finite term of the holographic entanglement entropy of finite domains with smooth shapes and for four dimensional gravitational backgrounds. Analytic expressions depending on the unit vectors normal to the minimal area surface…

High Energy Physics - Theory · Physics 2015-12-22 Piermarco Fonda , Domenico Seminara , Erik Tonni

We carry out a systematic study on the motion of test particles in the region inner to the horizon of a hyperbolically symmetric black hole. The geodesic equations are written and analyzed in detail. The obtained results are contrasted with…

General Relativity and Quantum Cosmology · Physics 2020-04-08 L. Herrera , A. Di Prisco , J. Ospino , L. Witten

In this paper, we continue the study of single-trace $T\bar{T}$-holography where the boundary field theory can be realized as a CFT$_2$ deformed by a single-trace irrelevant operator of dimension $(2,2)$ and dual spacetime geometry is…

High Energy Physics - Theory · Physics 2025-08-14 Soumangsu Chakraborty , Madhur Mehta , Gela Patashuri

In this note we show that for any hyperbolic surface S, the number of geodesics of length bounded above by L in the mapping class group orbit of a fixed closed geodesic with a single double point is asymptotic to L raised to the dimension…

Geometric Topology · Mathematics 2011-07-05 Igor Rivin

We investigate the zero entropy limit of the near horizon geometries of D=4 and D=5 general extremal black holes with SL(2,R)xU(1)^{D-3} symmetry. We derive some conditions on the geometries from expectation of regularity. We then show that…

High Energy Physics - Theory · Physics 2011-04-12 Tatsuo Azeyanagi , Noriaki Ogawa , Seiji Terashima

We study the trajectories of massive particles in spherically symmetric black holes in arbitrary dimensions, and find certain universal features based on the topological classification of the fixed points. If the system admits a center, we…

High Energy Physics - Theory · Physics 2026-04-29 Chandrasekhar Bhamidipati , Parashar Chatterjee , Sudipta Mukherji , Yogesh Kumar Srivastava

Thermodynamic geometry provides a powerful framework for probing the microscopic structure of thermodynamic systems. Among its formulations, Geometrothermodynamics (GTD) has been widely applied to black hole thermodynamics, owing to its…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Gunindra Krishna Mahanta

We develop further previous work on de Sitter extremal surfaces and time entanglement structures in quantum mechanics. In the first part, we first discuss explicit quotient geometries. Then we construct smooth bulk geometries with replica…

High Energy Physics - Theory · Physics 2025-11-20 Kanhu Kishore Nanda , K. Narayan , Somnath Porey , Gopal Yadav

We revisit the microscopic description of AdS$_3$ black holes in light of recent progress on their higher dimensional analogues. The grand canonical partition function that follows from the AdS$_3$/CFT$_2$ correspondence describes BPS and…

High Energy Physics - Theory · Physics 2021-07-28 Finn Larsen , Siyul Lee

We construct an explicit linear map from compact, conserved thermodynamic/effective-medium perturbations of the stress-energy tensor to the metric response in static, spherically symmetric spacetimes, and from there to geometric observables…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Jingxu Wu , Jie Shi , Chenjia Li , Yuwei Yin

We investigate the holographic entanglement entropy in the Rindler-AdS space-time to obtain an exact solution for the corresponding minimal surface. Moreover, the holographic entanglement entropy of the charged single accelerated AdS Black…

High Energy Physics - Theory · Physics 2019-07-02 Masoumeh Tavakoli , Behrouz Mirza , Zeinab Sherkatghanad

In the framework of the static patch approach to de Sitter holography introduced in [arXiv:2109.14104], the growth of holographic complexity has a hyperfast behaviour, which leads to a divergence in a finite time. This is very different…

High Energy Physics - Theory · Physics 2023-07-19 Roberto Auzzi , Giuseppe Nardelli , Gabriel Pedde Ungureanu , Nicolo Zenoni

It is shown that the near horizon geometry of a generic extreme regular black hole solution of Einstein gravity coupled to nonlinear electrodynamics is described by the $AdS_2 \times S^2$ spacetime.

General Relativity and Quantum Cosmology · Physics 2018-11-14 Sergei Filyukov

Correspondences between black holes and fluids have been discussed in two different frameworks, the Fluid/Gravity correspondence and membrane paradigm. Recently, it has been discussed that these two theories can be understood as the same…

High Energy Physics - Theory · Physics 2014-02-26 Yoshinori Matsuo , Yuya Sasai

The entropy of the universe might decrease if black holes did not have entropy. Hawking's derivation of black hole temperature and the first law of thermodynamics suggest that black holes indeed have entropy. However, Einstein's classical…

High Energy Physics - Theory · Physics 2024-09-09 Siyul Lee

The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled states in the n-fold tensor product of a…

High Energy Physics - Theory · Physics 2016-04-05 Vijay Balasubramanian , Patrick Hayden , Alexander Maloney , Donald Marolf , Simon F. Ross

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

In this paper, we study various aspects of the equilibrium thermodynamic state space geometry of AdS black holes. We first examine the Reissner-Nordstrom-AdS (RN-AdS) and the Kerr-AdS black holes. In this context, the state space scalar…

High Energy Physics - Theory · Physics 2014-11-20 Anurag Sahay , Tapobrata Sarkar , Gautam Sengupta