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In this paper, we demonstrate that the first law of holographic pseudo-entropy, which is a non-Hermitian generalization of entanglement entropy in a two-dimensional conformal field theory (CFT), is equivalent to the perturbative Einstein…

高能物理 - 理论 · 物理学 2025-12-01 Kosei Fujiki , Michitaka Kohara , Kotaro Shinmyo , Yu-ki Suzuki , Tadashi Takayanagi

We investigate black hole formation by a spherically collapsing thin shell of matter in AdS space. This process has been suggested to have a holographic interpretation as thermalization of the CFT on the boundary of the AdS space. The…

高能物理 - 理论 · 物理学 2009-10-31 Ulf H. Danielsson , Esko Keski-Vakkuri , Martin Kruczenski

Black hole solutions that are asymptotic to $ AdS_5 \times S^5$ or $ AdS_4 \times S^7$ can rotate in two different ways. If the internal sphere rotates then one can obtain a Reissner-Nordstrom-AdS black hole. If the asymptotically AdS space…

高能物理 - 理论 · 物理学 2009-10-31 S. W. Hawking , H. S. Reall

We study the dynamics of entanglement entropy for weakly excited states in conformal field theories by using the AdS/CFT. This is aimed at a first step to find a counterpart of Einstein equation in the CFT language. In particular, we point…

高能物理 - 理论 · 物理学 2013-08-09 Masahiro Nozaki , Tokiro Numasawa , Andrea Prudenziati , Tadashi Takayanagi

We relate the recent derivation of the linearised Einstein equation on an AdS background from holographic entanglement entropy arguments to the Sparling construction: we derive the differential form whose exterior derivative gives the…

高能物理 - 理论 · 物理学 2017-10-25 Mahdi Godazgar

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Ted Jacobson

Potential reconstruction can be used to find various analytical asymptotical AdS solutions in Einstein dilation system generally. We have generated two simple solutions without physical singularity called zero temperature solutions. We also…

高能物理 - 理论 · 物理学 2013-10-30 Song He , Danning Li , Jun-Bao Wu

In the context of the AdS/CFT correspondence linearized field equations of vector and antisymmetric tensor gauge fields around an AdS background are obtained from the entanglement first law of CFTs. The holographic charged entanglement…

高能物理 - 理论 · 物理学 2019-10-02 K. Hasegawa , Y. Tanii

We consider black hole solutions with electric and magnetic sources in the four-dimensional Einstein-Born-Infeld-AdS theory with spherical, planar and hyperbolic horizon geometries. Exact analytical solutions for the metric function,…

广义相对论与量子宇宙学 · 物理学 2023-04-07 Mykhailo Tataryn , Mykola Stetsko

The entanglement "first law" in conformal field theories relates the entanglement entropy for a ball-shaped region to an integral over the same region involving the expectation value of the CFT stress-energy tensor, for infinitesimal…

高能物理 - 理论 · 物理学 2014-05-14 Brian Swingle , Mark Van Raamsdonk

We investigate quantum entanglement of gravitational configurations in 3D AdS gravity using the AdS/CFT correspondence. We derive explicit formulas for the holographic entanglement entropy (EE) of the BTZ black hole, conical singularities…

高能物理 - 理论 · 物理学 2014-11-20 M. Cadoni , M. Melis

Small variations of the entanglement entropy \delta S and the expectation value of the modular Hamiltonian \delta E are computed holographically for circular entangling curves in the boundary of AdS(4), using gravitational perturbations…

高能物理 - 理论 · 物理学 2015-08-05 Ioannis Bakas , Georgios Pastras

In this paper Janus black holes in AdS3 are considered. These are static solutions of an Einstein-scalar system with broken translation symmetry along the horizon. These solutions are dual to interface conformal field theories at finite…

高能物理 - 理论 · 物理学 2015-05-30 Dongsu Bak , Michael Gutperle , Romuald A. Janik

Thermal states in some quantum field theories (QFTs) correspond to black holes in asymptotically AdS spacetime in the AdS/CFT correspondence. We propose a direct procedure to construct holographic images of the black hole in the bulk from a…

高能物理 - 理论 · 物理学 2020-03-25 Koji Hashimoto , Shunichiro Kinoshita , Keiju Murata

We derive formulas for variations of mass, angular momentum and canonical energy in Einstein (n-2)-gauge form field theory by means of the ADM formalism. Considering the initial data for the manifold with an interior boundary which has the…

高能物理 - 理论 · 物理学 2009-11-11 Marek Rogatko

We construct states describing Bose Einstein condensates at finite temperature for a relativistic massive complex scalar field with $|\varphi|^4$-interaction. We start with the linearised theory over a classical condensate and construct…

数学物理 · 物理学 2020-11-12 Romeo Brunetti , Klaus Fredenhagen , Nicola Pinamonti

Using the AdS/CFT correspondence we calculate the explicit form of the entanglement entropy for the charged BTZ black hole. The leading term in the large temperature expansion of the entropy function for this black hole reproduces its…

广义相对论与量子宇宙学 · 物理学 2011-09-02 Alexis Larranaga

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

高能物理 - 理论 · 物理学 2023-03-29 Qi-Yuan Mao , H. Lu

In this paper, we demonstrate the emergence of nonlinear gravitational equations directly from the physics of a broad class of conformal field theories. We consider CFT excited states defined by adding sources for scalar primary or stress…

高能物理 - 理论 · 物理学 2017-09-13 Thomas Faulkner , Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau , Mark Van Raamsdonk

We linearize the Einstein equations when the metric is Bondi-Sachs, when the background is Schwarzschild or Minkowski, and when there is a matter source in the form of a thin shell whose density varies with time and angular position. By…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Nigel T. Bishop