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This article considers the quasi-local conserved quantities with respect to a reference spacetime with a cosmological constant. We follow the approach developed by the authors in [25,26,7] and define the quasi-local energy as differences of…

Differential Geometry · Mathematics 2016-03-10 Po-Ning Chen , Mu-Tao Wang , Shing-Tung Yau

Quantum extremal surfaces (QES), codimension-2 spacelike regions which extremize the generalized entropy of a gravity-matter system, play a key role in the study of the black hole information problem. The thermodynamics of QESs, however,…

High Energy Physics - Theory · Physics 2022-01-06 Juan F. Pedraza , Andrew Svesko , Watse Sybesma , Manus R. Visser

The consideration of timelike boundaries in de Sitter static patches has a broad motivation, such as the formulation of a well-defined canonical ensemble and the realization of a natural framework for static patch holography. In this work…

High Energy Physics - Theory · Physics 2025-09-17 Timofei Rusalev

The de Sitter (dS) entropy bound gives the maximal number of e-folds that non-eternal inflation can last before violating the thermodynamical interpretation of dS space. This semiclassical argument is the analogue, for dS space, of the…

High Energy Physics - Theory · Physics 2022-10-31 Daniele Teresi

The island formula -- an extremization prescription for generalized entropy -- is known to result in a unitary Page curve for the entropy of Hawking radiation. This semi-classical entropy formula has been derived for Jackiw-Teitelboim (JT)…

High Energy Physics - Theory · Physics 2022-06-22 Juan F. Pedraza , Andrew Svesko , Watse Sybesma , Manus R. Visser

We investigate the physical properties of the de Sitter spacetime and new type-de Sitter black holes in new massive gravity, a higher derivative gravity theory in three dimensions. We calculate thermodynamic quantities and check that the…

High Energy Physics - Theory · Physics 2015-06-17 Yongjoon Kwon , Soonkeon Nam , Jong-Dae Park

Semiclassical gravity predicts that de Sitter space has a finite entropy. We suggest a picture for Euclidean de Sitter space in string theory, and use the AdS/CFT correspondence to argue that de Sitter entropy can be understood as the…

High Energy Physics - Theory · Physics 2010-05-28 Vijay Balasubramanian , Petr Horava , Djordje Minic

We extend the quasilocal formalism of Brown and York to include electromagnetic and dilaton fields and also allow for spatial boundaries that are not orthogonal to the foliation of the spacetime. The extension allows us to study the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 I. S. Booth , R. B. Mann

We derive the semi-classical gravitational dynamics from thermodynamics of local stretched light cones in 2-dimensional dilaton gravity, explicitly treating the backreaction of quantum matter through the conformal anomaly's effect on the…

High Energy Physics - Theory · Physics 2026-05-07 Ana Alonso-Serrano , Marek Liška , Michał Piotrak

This paper investigates charged black holes within the framework of quintic quasi-topological gravity, focusing on their thermodynamics, conserved quantities, and stability. We construct numerical solutions and explore their thermodynamic…

General Relativity and Quantum Cosmology · Physics 2023-12-05 A. R. Olamaei , A. Bazrafshan , M. Ghanaatian

In this paper we derive a semiclassical hydrodynamic system for electron densities and currents in the two energy bands of a semiconductor. We use the semiclassical Wigner equation with a k.p Hamiltonian and a BGK dissipative term to…

Mathematical Physics · Physics 2014-02-18 Luigi Barletti , Giovanni Borgioli , Giovanni Frosali

The thermodynamical properties of a dipole black ring are derived using the quasilocal formalism. We find that the dipole charge appears in the first law in the same manner as a global charge. Using the Gibbs-Duhem relation, we also provide…

High Energy Physics - Theory · Physics 2009-11-11 Dumitru Astefanesei , Eugen Radu

It is shown that under proper conditions in an appropriate coordinate system with a suitable time slicing the Hamiltonian and the Einstein-Hilbert action including all necessary boundary terms can be written on shell in terms of the…

General Relativity and Quantum Cosmology · Physics 2023-10-13 Bjoern S. Schmekel

We define a new gauge independent quasi-local mass and energy, and show its relation to the Brown-York Hamilton-Jacobi analysis. A quasi-local proof of the positivity, based on spacetime harmonic functions, is given for admissible closed…

Differential Geometry · Mathematics 2023-09-07 Aghil Alaee , Marcus Khuri , Shing-Tung Yau

A long-standing and intriguing question is: does the holographic principle apply to cosmologies like de Sitter spacetime? In this work, we consider a half dS spacetime wherein a timelike boundary encloses the bulk spacetime, presenting a…

High Energy Physics - Theory · Physics 2023-07-18 Taishi Kawamoto , Shan-Ming Ruan , Yu-ki Suzuki , Tadashi Takayanagi

Schwarzschild-de Sitter (SdS) black holes do not admit a completely smooth Euclidean continuation. We discuss some modifications of the gravitational path integral that give Euclidean SdS a semiclassical equilibrium interpretation. First we…

High Energy Physics - Theory · Physics 2022-07-13 Patrick Draper , Szilard Farkas

We extend the restricted phase space formalism for spherically symmetric black hole solutions of Einstein-Maxwell theory to the quasi-local regime, with the static observers located at a finite radial distance. The first law and Euler…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Bai-Hao Huang , Liu Zhao

In the semiclassical limit of de Sitter gravity a separation of scales takes place that divides the theory into a "cosmic" sector and a "microscopic" sector. A similar separation takes place in the double-scaled limit of SYK theory. We…

High Energy Physics - Theory · Physics 2022-09-22 Leonard Susskind

We show that the Hamiltonian dynamics of the self-interacting, abelian p-form theory in D=2p+2 dimensional space-time gives rise to the quasi-local structure. Roughly speaking, it means that the field energy is localized but on closed…

High Energy Physics - Theory · Physics 2007-05-23 D. Chruscinski

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
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