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It has been demonstrated, using variational methods, that quantum vacuum energy gravitates according to the equivalence principle, at least for the finite Casimir energies associated with perfectly conducting parallel plates. This…

高能物理 - 理论 · 物理学 2008-11-26 Kimball A Milton , Stephen A Fulling , Prachi Parashar , August Romeo , K V Shajesh , Jeffrey A Wagner

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 study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has the symmetries of a Young tableau with two columns of equal length. When these…

高能物理 - 理论 · 物理学 2023-03-22 Kurt Hinterbichler , Diego M. Hofman , Austin Joyce , Grégoire Mathys

We explore entanglement entropy of a cap-like region for a generic quantum field theory residing in the Bunch-Davies vacuum on de Sitter space. Entanglement entropy in our setup is identical with the thermal entropy in the static patch of…

高能物理 - 理论 · 物理学 2015-09-30 Omer Ben-Ami , Dean Carmi , Michael Smolkin

We explicitly show that the equations of motion for modified gravity theories of $F(R)$-gravity, the scalar-Gauss-Bonnet gravity, $F(\mathcal{G})$-gravity and the non-local gravity are equivalent to the Clausius relation in thermodynamics.…

高能物理 - 理论 · 物理学 2015-05-14 Kazuharu Bamba , Chao-Qiang Geng , Shin'ichi Nojiri , Sergei D. Odintsov

Gauge/gravity duality posits an equivalence between certain strongly coupled quantum field theories and theories of gravity with negative cosmological constant in a higher number of spacetime dimensions. The map between the degrees of…

高能物理 - 理论 · 物理学 2015-10-09 Jennifer Lin

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

We show that the equations of motion of generalized theories of gravity are equivalent to the thermodynamic relation $\delta Q = T \delta S$. Our proof relies on extending previous arguments by using a more general definition of the Noether…

高能物理 - 理论 · 物理学 2010-12-28 Ram Brustein , Merav Hadad

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sean A. Hayward

Einstein's equations in matter are gravitational analogues of Maxwell's equations in matter, providing an effective classical description of gravitational fields. We derive Einstein's equations in matter for relativistic fluids, and use…

广义相对论与量子宇宙学 · 物理学 2020-05-29 Pavel Kovtun , Ashish Shukla

Why does {\bf F} equal m{\bf a} in Newton's equation of motion? How does a gravitational field produce a force? Why are inertial mass and gravitational mass the same? It appears that all three of these seemingly axiomatic foundational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bernard Haisch , Alfonso Rueda

The presence of a non-zero cosmological term in Einstein field equations can be interpreted as the physical possibility for preferred reference frames without breaking of general covariance. This possibility is used in the process of…

广义相对论与量子宇宙学 · 物理学 2009-08-11 Clovis Jacinto de Matos

We provide a formulation and proof of the gravitational entropy bound. We use a recently given framework which expresses the measurable quantities of a quantum theory as a weighted sum over paths in the theory's phase space. If this…

高能物理 - 理论 · 物理学 2024-12-04 Artem Averin

The relation between kinematic space metric and entanglement entropy provides us with a differential equation for entanglement entropy. For BCFT on upper half plane we solve this equation to obtain an expression for entanglement entropy…

高能物理 - 理论 · 物理学 2018-07-30 Samrat Bhowmick , Suchetan Das , Bobby Ezhuthachan

A tensor description of perturbative Einsteinian gravity about an arbitrary background spacetime is developed. By analogy with the covariant laws of electromagnetism in spacetime, gravito-electromagnetic potentials and fields are defined to…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Simon J. Clark , Robin W. Tucker

The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure, thus we use those expressions to…

广义相对论与量子宇宙学 · 物理学 2016-07-20 S. C. Ulhoa , E. P. Spaniol

It is very likely that the quantum description of spacetime is quite different from what we perceive at large scales, $l\gg (G\hbar/c^3)^{1/2}$. The long wave length description of spacetime, based on Einstein's equations, is similar to the…

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

We investigate the correspondence between modified gravity theories and general entropic cosmology theory. Such a theory is proposed by an analogy with Jacobson's work, where the Einstein equation was derived from the Bekenstein-Hawking…

广义相对论与量子宇宙学 · 物理学 2025-03-24 Shin'ichi Nojiri , Sergei D. Odintsov

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected…

广义相对论与量子宇宙学 · 物理学 2010-10-27 M. Novello

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in…

高能物理 - 理论 · 物理学 2014-07-08 Willy Fischler , Sandipan Kundu , Juan F. Pedraza