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This thesis studies modified theories of gravity from a geometric viewpoint. We review the motivations for considering alternatives to General Relativity and cover the mathematical foundations of gravitational theories in Riemannian and…

广义相对论与量子宇宙学 · 物理学 2024-01-24 Erik Jensko

Does relativistic gravity provide arguments against the existence of a preferred frame? Our answer is negative. We define a viable theory of gravity with preferred frame. In this theory, the EEP holds exactly, and the Einstein equations of…

广义相对论与量子宇宙学 · 物理学 2012-10-23 I. Schmelzer

It has been proposed that quantum complexity is dual to the volume of the extremal surface, the action of the Wheeler-DeWitt patch, and the spacetime volume of the patch. Recently, a generalized volume-complexity observable was formulated…

高能物理 - 理论 · 物理学 2023-11-27 Xuanhua Wang , Ran Li , Jin Wang

In this paper, we examine the possibility to implement some form of emergent Newtonian gravity in a generic multi-component Bose--Einstein condensate. Parallely to what happens for the emergence of low energy Lorentz invariance, strong…

广义相对论与量子宇宙学 · 物理学 2011-02-02 Lorenzo Sindoni

A toy model of Einstein gravity with a Gauss-Bonnet classically "entropic" term mimicking a quantum correction is considered. The static black hole solution due to Tomozawa is found and generalized with the inclusion of non trivial horizon…

广义相对论与量子宇宙学 · 物理学 2013-10-15 Guido Cognola , Ratbay Myrzakulov , Lorenzo Sebastiani , Sergio Zerbini

We revisit Jacobson's thermodynamic derivation of gravitational dynamics in the presence of generalized, non-extensive horizon entropies. Working within a local Rindler-wedge framework, we formulate the Clausius relation as the stationarity…

广义相对论与量子宇宙学 · 物理学 2026-03-06 Marco Figliolia , Petr Jizba , Gaetano Lambiase

By gauging the Maxwell spacetime algebra the standard geometric framework of Einstein gravity with cosmological constant term is extended by adding six fourvector fields A_\mu^{ab}(x) associated with the six abelian tensorial charges in the…

高能物理 - 理论 · 物理学 2011-07-08 Jose A. de Azcarraga , Kiyoshi Kamimura , Jerzy Lukierski

We consider linear perturbation equations for long-wavelength scalar metric perturbations in generalised gravity, applicable to non-singular cosmological models including a bounce from collapse to expansion in the very early universe. We…

高能物理 - 理论 · 物理学 2008-11-26 Antonio Cardoso , David Wands

Effective gravitational field theories with background fields break local Lorentz symmetry and diffeomorphism invariance. Examples include Chern-Simons gravity, massive gravity, and the Standard-Model Extension (SME). The physical…

广义相对论与量子宇宙学 · 物理学 2016-01-05 Robert Bluhm

We show that generalizations of general relativity theory, which consist in replacing the Hilbert Lagrangian $L_{Hilbert} = \frac 1{16\pi} \sqrt{|g|} R$ by a generic scalar density $L=L(g_{\mu\nu}, R^\lambda_{\mu\nu\kappa})$ depending upon…

广义相对论与量子宇宙学 · 物理学 2016-09-21 Jerzy Kijowski

We construct a manifestly Machian theory of gravitation on the foundation that information in the universe cannot be destroyed (Landauer's principle). If no bit of information in the Universe is lost, than the sum of the entropies of the…

综合物理 · 物理学 2018-10-09 Victor Atanasov

In Einstein's gravity, the entropy of horizons is proportional to their area. Several arguments given in the literature suggest that, in this context, both area and entropy should be quantized with an equally spaced spectrum for large…

广义相对论与量子宇宙学 · 物理学 2009-02-23 Dawood Kothawala , T. Padmanabhan , Sudipta Sarkar

We show that almost all metric--affine theories of gravity yield Einstein equations with a non--null cosmological constant $\Lambda$. Under certain circumstances and for any dimension, it is also possible to incorporate a Weyl vector field…

广义相对论与量子宇宙学 · 物理学 2011-07-19 V. Tapia , M. Ujevic

Einstein gravitation theory can be extended by preserving its geometrical nature but changing the relation between curvature and energy-momentum tensors. This change accounts for radiative corrections, replacing the Newton gravitation…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marc-Thierry Jaekel , Serge Reynaud

In general yes, but also not quite. It is known that if the Bekenstein-Hawking entropy is replaced by some kind of generalized entropy, then the Bekenstein bound may be grossly violated. In this work, we show that this undesired violation…

广义相对论与量子宇宙学 · 物理学 2025-10-17 Hengxin Lu , Yen Chin Ong

The generalized covariant entropy bound is the conjecture that the entropy of the matter present on any non-expanding null hypersurface L will not exceed the difference between the areas, in Planck units, of the initial and final spatial…

高能物理 - 理论 · 物理学 2009-11-10 Raphael Bousso , Eanna E. Flanagan , Donald Marolf

General relativistic cosmology cannot be reduced to linear relativistic perturbations superposed on an isotropic and homogeneous (Friedmann-Robertson-Walker) background, even though such a simple scheme has been successfully applied to…

宇宙学与河外天体物理 · 物理学 2015-06-22 Eleonora Villa , Licia Verde , Sabino Matarrese

We propose a regularization procedure for the novel Einstein-Gauss-Bonnet theory of gravity, which produces a set of field equations that can be written in closed form in four dimensions. Our method consists of introducing a counter term…

广义相对论与量子宇宙学 · 物理学 2020-07-07 Pedro G. S. Fernandes , Pedro Carrilho , Timothy Clifton , David J. Mulryne

The motion of test bodies in gravity is tightly linked to the conservation laws. This well-known fact in the context of General Relativity is also valid for gravitational theories which go beyond Einstein's theory. Here we derive the…

广义相对论与量子宇宙学 · 物理学 2013-09-09 Dirk Puetzfeld , Yuri N. Obukhov

This work presents a universal and revisited formalism for the entropy of the apparent horizon in modified gravity to investigate the validity of the Generalized Second Law (GSL) of thermodynamics. This revisited horizon entropy is…

广义相对论与量子宇宙学 · 物理学 2025-12-22 Soma Heydari , Parastoo Askari , Kayoomars Karami