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Investigations of spherically symmetric motions of self-gravitating gaseous stars governed by the non-relativistic Newtonian gravitation theory or by the general relativistic theory lead us to a certain type of non-linear hyperbolic…

偏微分方程分析 · 数学 2016-02-02 Tetu Makino

We study general relativity in the framework of non-commutative differential geometry. In particular, we introduce a gravity action for a space-time which is the product of a four dimensional manifold by a two-point space. In the simplest…

高能物理 - 理论 · 物理学 2008-11-26 A. H. Chamseddine , G. Felder , J. Fröhlich

The standard model (SM) of particle physics is for the last three decades a very successful description of the properties and interactions of all known elementary particles. Currently, it is again probed with the first collisions at the…

高能物理 - 唯象学 · 物理学 2011-04-18 Florian Staub

In this essay we marshal evidence suggesting that Einstein gravity may be an emergent phenomenon, one that is not ``fundamental'' but rather is an almost automatic low-energy long-distance consequence of a wide class of theories.…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Carlos Barcelo , Matt Visser , Stefano Liberati

We present a review of the Semi-Symmetric Metric Gravity (SSMG) theory, representing a geometric extension of standard general relativity, based on a connection introduced by Friedmann and Schouten in 1924. The semi-symmetric connection is…

广义相对论与量子宇宙学 · 物理学 2024-11-06 Himanshu Chaudhary , Lehel Csillag , Tiberiu Harko

We continue here the exam \cite{LuMa} of a theory of gravity that satisfies the Einstein Equivalence Principle (EEP) for any kind of matter/energy, except for the gravitational energy. This is part of a research program that intends to…

广义相对论与量子宇宙学 · 物理学 2007-05-23 M. Novello , L. R. Freitas , V. A. De Lorenci

A unified theory of all forces should be nonsingular. In such a unified theory, Einstein's general relativity will be a very low curvature effective theory. At larger curvatures, new terms will become important. The question then arises as…

广义相对论与量子宇宙学 · 物理学 2009-10-22 Robert H. Brandenberger

Minisuperpace Quantum Cosmology is an approach by which it is possible to infer initial conditions for dynamical systems which can suitably represent observable and non-observable universes. Here we discuss theories of gravity which, from…

广义相对论与量子宇宙学 · 物理学 2022-03-16 Salvatore Capozziello , Francesco Bajardi

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

高能物理 - 理论 · 物理学 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

The four-dimensional gauge group of general relativity corresponds to arbitrary coordinate transformations on a four-manifold. Theories of gravity with a dynamical structure remarkably like Einstein's theory can be obtained on the basis of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Julian Barbour , Niall O Murchadha

The usual derivation of Einstein's field equations from the Einstein--Hilbert action is performed by silently assuming the metric tensor's symmetric character. If this symmetry is not assumed, the result is a new theory, such as Einstein's…

广义相对论与量子宇宙学 · 物理学 2025-08-05 Viktor T. Toth

Our conventional system of physical units is based on local or microscopic {\it dimensional} quantities which are {\it defined}, for convenience or otherwise aesthetic reasons, to be spacetime-independent. A more general choice of units may…

综合物理 · 物理学 2013-08-06 Meir Shimon

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

广义相对论与量子宇宙学 · 物理学 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer

In a geometric unified theory there is an energy momentum equation, apart from the field equations and equations of motion. The general relativity Einstein equation with cosmological constant follows from this energy momentum equation for…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Gustavo R. Gonzalez-Martin

Einstein's theory of general relativity describes gravity as the interaction of particles with space-time geometry, as opposed to interacting with a physical fluid, as in the old gravitational aether theories. Moreover, any theoretical…

科普物理 · 物理学 2010-04-19 Niayesh Afshordi

The status of a modification of General Relativity (GR) -- Spontaneously Broken Relativity (SBR) -- for merging gravity, dark energy (DE) and dark matter (DM) is presented. The modification is principally grounded on a multiscalar-metric…

广义相对论与量子宇宙学 · 物理学 2025-12-16 Yu. F. Pirogov , O. V. Zenin

Historians recently rehabilitated Einstein's "physical strategy" for General Relativity (GR). Independently, particle physicists similarly re-derived Einstein's equations for a massless spin 2 field. But why not a light \emph{massive} spin…

物理学史与哲学 · 物理学 2019-10-01 J. Brian Pitts

We study Einstein's equations with matter in hydrostatic equilibrium in the nonstandard gauge which was recently investigated in the vacuum case. We obtain spherically symmetric solutions for any given rotation curve. These solutions can be…

广义相对论与量子宇宙学 · 物理学 2012-12-04 Günter Scharf

Quadratic gravity is a well-motivated extension of general relativity~(GR) wherein the Einstein-Hilbert action is augmented by quadratic curvature terms. This theory is equivalent to GR in an effective-field-theory framework, while the two…

广义相对论与量子宇宙学 · 物理学 2026-04-03 Georgios Antoniou , Leonardo Gualtieri , Paolo Pani

Coset methods are used to construct the action describing the dynamics associated with the spontaneous breaking of the local supersymmetries. The resulting action is an invariant form of the Einstein-Hilbert action, which in addition to the…

高能物理 - 理论 · 物理学 2008-11-26 T. E. Clark , S. T. Love , Muneto Nitta , T. ter Veldhuis