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Recent progress in the understanding of gravity on noncommutative spaces is discussed. A gravity theory naturally emerges from matrix models of noncommutative gauge theory. The effective metric depends on the dynamical Poisson structure,…

高能物理 - 理论 · 物理学 2008-11-26 Harold Steinacker

This thesis is devoted to the study of gravitational theories which can be seen as modifications or generalisations of General Relativity. The motivation for considering such theories, stemming from Cosmology, High Energy Physics and…

广义相对论与量子宇宙学 · 物理学 2011-11-10 Thomas P. Sotiriou

Recently proposed quantization in field theory based on an analogue of Hamiltonian formulation which treats space and time on equal footing (the so-called De Donder-Weyl theory) is applied to General Relativity in metric variables. We…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. V. Kanatchikov

A new gauge theory of gravity is presented. The theory is constructed in a flat background spacetime and employs gauge fields to ensure that all relations between physical quantities are independent of the positions and orientations of the…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Anthony Lasenby , Chris Doran , Stephen Gull

We propose an action-based $ f(R) $ modification of Einstein's gravity which admits of a modified Schwarzschild-deSitter metric. In the weak field limit this amounts to adding a small logarithmic correction to the newtonian potential. A…

天体物理学 · 物理学 2009-11-11 Y. Sobouti

The unified theory of string and two-dimensional quantum gravity is considered. The action for two-dimensional gravity is choosen in a well-known induced form and thus gravity posesses it's oun nontrivial dynamics even on the classical…

高能物理 - 理论 · 物理学 2007-05-23 I. L. Buchbinder , I. L. Shapiro , A. G. Sibiryakov

General Relativity (GR) exists in different formulations, which are equivalent in pure gravity. Once matter is included, however, observable predictions generically depend on the version of GR. In order to quantify the resulting ambiguity,…

广义相对论与量子宇宙学 · 物理学 2024-01-04 Claire Rigouzzo , Sebastian Zell

The Standard Model of particle physics describes electromagnetic, weak, and strong interactions, which are three of the four known fundamental forces of nature. The unification of the fourth interaction, gravity, with the Standard Model has…

广义相对论与量子宇宙学 · 物理学 2025-08-07 Mikko Partanen , Jukka Tulkki

In this paper, the generic part of the gauge theory of gravity is derived, based merely on the action principle and on the general principle of relativity. We apply the canonical transformation framework to formulate geometrodynamics as a…

广义相对论与量子宇宙学 · 物理学 2026-01-01 J. Struckmeier , J. Muench , D. Vasak , J. Kirsch , M. Hanauske , H. Stoecker

We classify the metric-affine theories of gravitation, in which the metric and the connections are treated as independent variables, by use of several constraints on the connections. Assuming the Einstein-Hilbert action, we find that the…

广义相对论与量子宇宙学 · 物理学 2019-05-22 Keigo Shimada , Katsuki Aoki , Kei-ichi Maeda

By applying the symmetric and trace-free formalism in terms of the irreducible Cartesian tensors, the metric for the external gravitational field of a spatially compact stationary source is provided in $F(X,Y,Z)$ gravity, a generic…

广义相对论与量子宇宙学 · 物理学 2023-11-15 Bofeng Wu , Chao-Guang Huang

We extend the results of antecedent literature on quadratic Metric-Affine Gravity by studying a new quadratic gravity action in vacuum which, besides the usual (non-Riemannian) Einstein-Hilbert contribution, involves all the parity even…

广义相对论与量子宇宙学 · 物理学 2022-12-26 Damianos Iosifidis , Ratbay Myrzakulov , Lucrezia Ravera , Gulmira Yergaliyeva , Koblandy Yerzhanov

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to…

广义相对论与量子宇宙学 · 物理学 2015-06-17 Keiichi Akama , Takashi Hattori

The gravitational interaction, as described by the Einstein-Cartan theory, is shown to emerge as the by-product of the spontaneous symmetry breaking of a gauge symmetry in a pre-geometric four-dimensional spacetime. Starting from a…

高能物理 - 理论 · 物理学 2025-01-15 Andrea Addazi , Salvatore Capozziello , Antonino Marciano , Giuseppe Meluccio

The gravitational effective average action is studied in a bimetric truncation with a nontrivial background field dependence, and its renormalization group flow due to a scalar multiplet coupled to gravity is derived. Neglecting the metric…

高能物理 - 理论 · 物理学 2011-03-04 Elisa Manrique , Martin Reuter , Frank Saueressig

We construct models of static spherical distributions of perfect fluid in trace--free Einstein gravity theory. The equations governing the gravitational field are equivalent to the standard Einstein's equations however, their presentation…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Sudan Hansraj , Rituparno Goswami , George Ellis , Njabulo Mkhize

There are various reasons to believe that quantum theory could be an emergent phenomenon. Trace Dynamics is an underlying classical dynamics of non-commuting matrices, from which quantum theory and classical mechanics have been shown to…

广义相对论与量子宇宙学 · 物理学 2011-01-25 T. P. Singh

We propose a topological model of induced gravity (pregeometry) where both Newton's coupling constant and the cosmological constant appear as integration constants in solving field equations. The matter sector of a scalar field is also…

广义相对论与量子宇宙学 · 物理学 2017-02-15 Ichiro Oda

Schwarzschild's 'interior solution' is a space-time metric that satisfies Einstein's gravitational field equations with a source term that Einstein created on the basis of an unjustified identification of the conceptually distinct notions…

广义相对论与量子宇宙学 · 物理学 2012-10-18 Homer G. Ellis

Brans-Dicke theory is described by an action that allows the so called frame transformation, which replaces the non-minimal coupling between the scalar field and the curvature by a coupling between the scalar field and matter fields. In…

广义相对论与量子宇宙学 · 物理学 2018-04-24 Iarley P. Lobo