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In general relativity, a gravitational horizon (more commonly known as the "apparent horizon") is an imaginary surface beyond which all null geodesics recede from the observer. The Universe has an apparent (gravitational) horizon, but…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Fulvio Melia

Finite entropy and energy are obtained for the horizon of a Rindler observer on the grounds of the nonstatic character of the geometry beyond the horizon. Edery - Constantineau prescription is used to find the dynamical phase space of this…

General Relativity and Quantum Cosmology · Physics 2011-09-26 Hristu Culetu

In AdS/CFT, the entanglement wedge EW$(B)$ is the portion of the bulk geometry that can be reconstructed from a boundary region $B$; in other words, EW$(B)$ is the hologram of $B$. We extend this notion to arbitrary spacetimes. Given any…

High Energy Physics - Theory · Physics 2023-09-07 Raphael Bousso , Geoff Penington

All existing 4-coordinate systems centered on the world-line of an accelerated observer are only locally defined like it happens for Fermi coordinates both in special and general relativity. As a consequence, it is not known how…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Alba , Luca Lusanna

From general relativity we have learned the principles of general covariance and local Lorentz invariance, which follow from the fact that we consider observables as tensors on a spacetime manifold whose geometry is modeled by a Lorentzian…

Mathematical Physics · Physics 2014-09-12 Manuel Hohmann

We embed spherical Rindler space -- a geometry with a spherical hole in its center -- in asymptotically AdS spacetime and show that it carries a gravitational entropy proportional to the area of the hole. Spherical AdS-Rindler space is…

High Energy Physics - Theory · Physics 2014-06-12 Vijay Balasubramanian , Borun D. Chowdhury , Bartlomiej Czech , Jan de Boer , Michal P. Heller

Quantum gravity in a closed universe faces two a priori distinct yet seemingly related issues: the problem of time and the fact that its Hilbert space dimension is one. Both have been argued to be resolvable by formulating physics relative…

High Energy Physics - Theory · Physics 2025-06-27 Zixia Wei

We compute the entanglement entropy across a Rindler horizon in scalar field theory with Yukawa interaction. Starting from a microscopic scalar-mediator theory in flat spacetime, we integrate out the massive mediator to obtain a quadratic…

High Energy Physics - Theory · Physics 2026-02-12 Akshay Kulkarni , Rahul Nigam

We calculate the entanglement entropy in spaces with horizons, such as Rindler or de Sitter space, using holography. We employ appropriate parametrizations of AdS space in order to obtain a Rindler or static de Sitter boundary metric. The…

High Energy Physics - Theory · Physics 2019-07-17 D. Giataganas , N. Tetradis

Some essential conceptual aspects that will fill some logical gaps of the frame to interpret the gravity as an entropic force was investigated, we focus on some crucial issues that didn't emphasized in Verlinde's original…

General Relativity and Quantum Cosmology · Physics 2014-02-21 Qiao-Jun Cao

In quantum gravity, it has been argued that a proper accounting of the role played by an observer promotes the von Neumann algebra of observables in a given spacetime subregion from Type III to Type II. While this allows for a…

High Energy Physics - Theory · Physics 2025-07-17 Julian De Vuyst , Stefan Eccles , Philipp A. Hoehn , Josh Kirklin

By using simplified 2D gravitational, non-local Lorentz invariant actions constructed upon the torsion tensor, we discuss the physical meaning of the remnant symmetries associated with the near-horizon (Milne) geometry experienced by a…

General Relativity and Quantum Cosmology · Physics 2022-05-24 Franco Fiorini , Andronikos Paliathanasis

We show that Rindler horizons are entropic screens and gravity is an entropic force in Rindler space by deriving the Verlinde entropy formula from the focusing of light due to a mass close to the horizon. Consequently, gravity is also…

High Energy Physics - Theory · Physics 2011-04-14 Edi Halyo

Physical foundations for relativistic spacetimes are revisited, in order to check at what extent Finsler spacetimes lie in their framework. Arguments based on inertial observers (as in the foundations of Special Relativity and Classical…

General Relativity and Quantum Cosmology · Physics 2020-04-21 Antonio Bernal , Miguel Ángel Javaloyes , Miguel Sánchez

We derive the holographic entanglement entropy functional for a generic gravitational theory whose action contains terms up to cubic order in the Riemann tensor, and in any dimension. This is the simplest case for which the so-called…

High Energy Physics - Theory · Physics 2023-01-11 Elena Cáceres , Rodrigo Castillo Vásquez , Alejandro Vilar López

We extend all known area inequalities obeyed by Ryu-Takayanagi surfaces of AdS boundary regions -- the holographic entropy cone -- to static generalized entanglement wedges of bulk regions in arbitrary spacetimes. The generalized…

High Energy Physics - Theory · Physics 2025-02-07 Raphael Bousso , Sami Kaya

The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components. Using the…

High Energy Physics - Theory · Physics 2021-05-05 Pablo Bueno , Joan Camps , Alejandro Vilar López

We study the dynamics of gauge theory and general relativity using fields of local observers, thus maintaining local Lorentz symmetry despite a space/time splitting of fields. We start with Yang--Mills theory, where observer fields are…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Derek K. Wise

The calculation of entanglement entropy S of quantum fields in spacetimes with horizon shows that, quite generically, S (a) is proportional to the area A of the horizon and (b) is divergent. I argue that this divergence, which arises even…

General Relativity and Quantum Cosmology · Physics 2010-12-24 T. Padmanabhan

The `observer space' of a Lorentzian spacetime is the space of future-timelike unit tangent vectors. Using Cartan geometry, we first study the structure a given spacetime induces on its observer space, then use this to define abstract…

General Relativity and Quantum Cosmology · Physics 2013-05-08 Steffen Gielen , Derek K. Wise