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Hamilton-Jacobi theory provides a natural starting point for a covariant description of the gravitational field. Using a spatial gradient expansion, one may solve for the phase of the wavefunction by using a line-integral in superspace.…

天体物理学 · 物理学 2007-05-23 D. S. Salopek

In the present article, we show that a simple modification to the Einstein-Hilbert action can explain the possibility of mutual interaction between the cosmic fluids. That is achieved considering the Weyl Integrable Spacetime in the…

广义相对论与量子宇宙学 · 物理学 2022-06-15 S. Chatzidakis , A. Giacomini , P. G. L. Leach , G. Leon , A. Paliathanasis , S. Pan

Non commutative geometry is creating new possibilities for physics. Quantum spacetime geometry and post inflationary models of the universe with matter creation have an enormous range of scales of time, distance and energy in between. There…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Ajay Patwardhan

Stabilization, by deformation, of the Poincar\'{e}-Heisenberg algebra requires both the introduction of a fundamental lentgh and the noncommutativity of translations which is associated to the gravitational field. The noncommutative…

数学物理 · 物理学 2017-11-02 R. Vilela Mendes

A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory ($T_{\alpha\beta}$ is the…

广义相对论与量子宇宙学 · 物理学 2016-08-04 Mahmood Roshan , Fatimah Shojai

In this paper we present a new unified theory of electromagnetic and gravitational interactions. By considering a four-dimensional spacetime as a hypersurface embedded in a five-dimensional bulk spacetime, we derive the complete set of…

广义相对论与量子宇宙学 · 物理学 2016-07-05 Li-Xin Li

The spontaneous symmetry breaking for the massless scalar field naturally arises from the framework of the effective theory (the non-minimal coupling of gravity to a scalar field). A magic key ingredient is to add the large vacuum energy…

高能物理 - 唯象学 · 物理学 2022-04-08 Suppanat Supanyo , Monsit Tanasittikosol , Sikarin Yoo-Kong , Lunchakorn Tannukij

Effective Riemann space effect of vacuum nonlinear electrodynamics is considered in the context of theory for unified gravitation and electromagnetism. The electromagnetic four-vector potential in the scope of Born-Infeld nonlinear…

广义相对论与量子宇宙学 · 物理学 2010-06-30 Alexander A. Chernitskii

The paper extends basic Einstein--Hilbert action by adding a newly proposed invariant constructed from a specific contraction between the Einstein tensor and the energy momentum tensor, encoding a non--minimal coupling between the…

广义相对论与量子宇宙学 · 物理学 2023-02-09 Mihai Marciu , Dana Maria Ioan

Gravity theory is the basis of modern cosmological models. Thirring-Feynman's tensor field approach to gravitation is an alternative to General Relativity (GR). Though Field Gravity (FG) approach is still developing subject, it opens new…

广义相对论与量子宇宙学 · 物理学 2016-08-31 Yurij Baryshev

Positive-energy solutions of the Klein-Gordon equation form a Hilbert space of holomorphic functions on the future tube. This domain is interpreted as an extended phase space for the associated classical particle, the extra dimensions being…

数学物理 · 物理学 2023-05-23 Gerald Kaiser

We consider a maximal extension of the Hilbert-Einstein action and analyze several interesting features of the theory. More specifically, the motion is non-geodesic and takes place in the presence of an extra force. These models could lead…

广义相对论与量子宇宙学 · 物理学 2012-11-05 Francisco S. N. Lobo , Tiberiu Harko

We consider general curvature-invariant modifications of the Einstein-Hilbert action that become important only in regions of extremely low space-time curvature. We investigate the far future evolution of the universe in such models,…

It is first argued that radiation by a uniformly accelerated charge in flat space-time indicates the need for a unified geometric theory of gravity and electromagnetism. Such a theory, based on a metric-affine $U_4$ manifold, is constructed…

综合物理 · 物理学 2018-08-30 Partha Ghose

An effective theory of gravity in the infrared is proposed, which involves the determinant of the metric relative to the determinant of a prior metric taken to be that of Minkowski spacetime. This effective theory can be interpreted as a…

高能物理 - 理论 · 物理学 2017-02-15 F. R. Klinkhamer

There is sufficient amount of internal evidence in the nature of gravitational theories to indicate that gravity is an emergent phenomenon like, e.g, elasticity. Such an emergent nature is most apparent in the structure of gravitational…

宇宙学与河外天体物理 · 物理学 2015-06-05 T. Padmanabhan

It is shown that gravitation naturally emerges from the standard model of particle physics if local scale invariance is imposed in the context of a single conformal (Weyl-symmetric) theory. Gravitation is then conformally-related to the…

广义相对论与量子宇宙学 · 物理学 2018-06-15 Meir Shimon

The generalized hybrid metric-Palatini theory of gravity admits a scalar-tensor representation in terms of two interacting scalar fields. We show that, upon an appropriate choice of the interaction potential, one of the scalar fields…

广义相对论与量子宇宙学 · 物理学 2020-06-08 Paulo M. Sá

Flat space-time has not heretofore been thought a suitable locus in which to construct model universes because of the presumed necessity of incorporating gravitation in such models and because of the historical lack of a theory of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Wasley S. Krogdahl

The framework of a theory of gravity from the quantum to the classical regime is presented. The paradigm shift from full spacetime covariance to spatial diffeomorphism invariance, together with clean decomposition of the canonical…

广义相对论与量子宇宙学 · 物理学 2019-12-06 Chopin Soo , Hoi-Lai Yu