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We consider singularity theorems in asymptotically anti-de Sitter (AdS) spacetimes. In the first part, we discuss the global methods used to show geodesic incompleteness and see that when the conditions imposed in Hawking and Penrose's…

High Energy Physics - Theory · Physics 2015-06-11 Akihiro Ishibashi , Kengo Maeda

We calculate corrections to the Bekenstein-Hawking entropy formula for the five-dimensional topological AdS (TAdS)-black holes and topological de Sitter (TdS) spaces due to thermal fluctuations. We can derive all thermal properties of the…

High Energy Physics - Theory · Physics 2010-04-05 Y. S. Myung

For spacetimes that are not asymptotic to anti-de Sitter Space (non AAdS), we adapt the Lewkowycz-Maldacena procedure to find the holographic entanglement entropy. The key observation, which to our knowledge is not very well appreciated, is…

High Energy Physics - Theory · Physics 2016-07-08 Wei Song , Qiang Wen , Jianfei Xu

We propose an effective model for an exponentially expanding universe in the brane-world scenario. The setup consists of a 5D black hole and a brane close to the black hole horizon. In case the brane acquires a specific configuration, which…

High Energy Physics - Theory · Physics 2022-11-24 Ida M. Rasulian

Two important problems in studying the quantum black hole, namely the construction of the Hilbert space and the definition of the time evolution operator on such Hilbert space, are discussed using the de Sitter background field method for…

General Relativity and Quantum Cosmology · Physics 2017-11-06 M. V. Takook

In this paper, we study the relation between entanglement and global internal symmetries on de Sitter space. We consider two symmetric causally disconnected regions in the hyperbolic chart on de Sitter space. Since entanglement measures…

High Energy Physics - Theory · Physics 2023-06-12 Himanshu Gaur , Urjit A. Yajnik

The entanglement entropy in $d+1$ dimensional conformal field theories can be calculated using the area of $d$ dimensional minimal surfaces in $AdS_{d+2}$. Therefore, the existence of surfaces anchored in the boundary of an asymptotically…

High Energy Physics - Theory · Physics 2026-04-10 Oscar Lasso Andino , Axel León-Arteaga , Guillermo Ramírez-Ulloa

We revisit the formalism of $\text{T}\overline{\text{T}}$ deformations for quantum theories that are holographically dual to two-dimensional dilaton-gravity theories with Dirichlet boundary conditions. To better understand the microscopics…

High Energy Physics - Theory · Physics 2025-01-17 Sergio E. Aguilar-Gutierrez , Andrew Svesko , Manus R. Visser

We study anti-de Sitter black holes in 2+1 dimensions in terms of Chern Simons gauge theory of the anti-de Sitter group coupled to a Source. Taking the source to be an anti-de Sitter state specified by its Casimir invariants, we show how…

High Energy Physics - Theory · Physics 2007-05-23 Sharmanthie Fernando , Freydoon Mansouri

Anti-de Sitter (AdS) is conjectured to be nonlinear unstable to a weakly turbulent mechanism that develops a cascade towards high frequencies, leading to black hole formation [1,2]. We give evidence that the gravitational sector of…

High Energy Physics - Theory · Physics 2016-11-15 Oscar J. C. Dias , Jorge E. Santos

It is argued that the role of infinite dimensional asymptotic symmetry groups in gravity theories are essential for a holographic description of gravity and possibly to a resolution of the black hole information paradox. I present a simple…

General Relativity and Quantum Cosmology · Physics 2013-08-30 Heikki Arponen

Recent advancements in black hole thermodynamics have introduced corrections to elucidate the relationship between entropy and extremality bound of black holes. Traditionally, this relationship has been studied in the context of black holes…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Ankit Anand , Saeed Noori Gashti

We put forward a unimodular $N=1, d=4$ anti-de Sitter supergravity theory off shell. This theory, where the Cosmological Constant does not couple to gravity, has a unique maximally supersymmetric classical vacuum which is Anti-de Sitter…

High Energy Physics - Theory · Physics 2020-03-18 Jesus Anero , Carmelo P. Martin , Raquel Santos-Garcia

We explore the microscopic origin of de Sitter entropy using a Lorentzian path-integral approach. We construct a Hilbert space whose states are associated with configurations of thin shells or end-of-the-world branes, with state overlaps…

High Energy Physics - Theory · Physics 2026-01-08 Jan de Boer , Diego Liska , Kamran Salehi Vaziri

In this paper we obtain an exact high dimensional anti-de Sitter (AdS) black hole solution in Einstein-bumblebee gravity theory. This AdS-like black hole can only exist with a linear functional potential of the bumblebee field. We find that…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Chikun Ding , Yu Shi , Jun Chen , Yuebing Zhou , Changqing Liu

The two-point correlation function of a massive field $\langle\chi(\tau)\chi(0)\rangle$, measured along an observer's worldline in de Sitter (dS), decays exponentially as $\tau \to \infty$. Meanwhile, every dS observer is surrounded by a…

High Energy Physics - Theory · Physics 2025-02-25 Mehrdad Mirbabayi

In this paper we continue the study of the physical consequences of our modified black hole entropy formula in expanding spacetimes. In particular, we apply the new formula to apparent horizons of Friedmann expanding universes with zero,…

High Energy Physics - Theory · Physics 2016-03-08 Stefano Viaggiu

It is possible to associate temperatures with the non-extremal horizons of a large class of spherically symmetric spacetimes using periodicity in the Euclidean sector and this procedure works for the de Sitter spacetime as well. But, unlike…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Suprit Singh , Chandrima Ganguly , T. Padmanabhan

Studies of quantum field entanglement in de Sitter space based on the von Neumann entropy of local patches have concluded that curvature enhances entanglement between regions and their complements. Similar conclusions about entanglement…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Patricia Ribes-Metidieri , Ivan Agullo , Béatrice Bonga

It is well known that de Sitter(dS) black holes generally have a black hole horizon and a cosmological horizon, both of which have Hawking radiation. But the radiation temperature of the two horizons is generally different, so dS black…

High Energy Physics - Theory · Physics 2021-02-03 Yubo Ma , Yang Zhang , Lichun Zhang , Liang Wu , Ying Gao , Shuo Cao , Yu Pan