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A method to find the symmetries of a theory in the first order formalism of gravity is presented. This method is applied to the minimal gravity sector of the Standard Model Extension. It is argued that no inconsistencies arise when Lorentz…

广义相对论与量子宇宙学 · 物理学 2019-05-27 Y. Bonder , C. Corral

Viewing gravitational energy-momentum as equal by observation, but different in essence from inertial energy-momentum naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space which can describe…

数学物理 · 物理学 2012-03-13 C. Wiesendanger

The starting point of this work is the original Einstein action, sometimes called the Gamma squared action. Continuing from our previous results, we study various modified theories of gravity following the Palatini approach. The metric and…

广义相对论与量子宇宙学 · 物理学 2023-09-29 Christian G. Boehmer , Erik Jensko

In the first order formalism of gravitational theories, the spacetime connection is considered as an independent variable to vary together with the metric. However, the metric still generates its Levi-Civita connection that turns out to…

广义相对论与量子宇宙学 · 物理学 2013-05-29 Tomi S. Koivisto , Nicola Tamanini

We explore the possibility that part of what we call dark matter may be the mark of a preferred frame, revealing a breakdown of diffeomorphism invariance. In the non-relativistic limit this appears as a deviant matter source capable of…

广义相对论与量子宇宙学 · 物理学 2025-05-08 Raymond Isichei , Joao Magueijo

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

We formally prove the existence of a quantization procedure that makes the path integral of a general diffeomorphism-invariant theory of gravity, with fixed total spacetime volume, equivalent to that of its unimodular version. This is…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Gustavo P. de Brito , Oleg Melichev , Roberto Percacci , Antonio D. Pereira

Minimally modified gravity theories are modifications of general relativity with two local gravitational degrees of freedom in four dimensions. Their construction relies on the breaking of 4D diffeomorphism invariance keeping however the…

广义相对论与量子宇宙学 · 物理学 2019-08-07 Shinji Mukohyama , Karim Noui

Some features of Einstein gravity are most easily understood from string theory but are not manifest at the level of the usual Lagrangian formulation. One example is the factorization of gravity amplitudes into gauge theory amplitudes.…

高能物理 - 理论 · 物理学 2015-05-27 Olaf Hohm

We introduce an $N=1$ supergravity model based on the gauged shift symmetry of a single chiral multiplet, which can be identified with the string dilaton or a compactification modulus. The model allows for a tunably small and positive value…

高能物理 - 唯象学 · 物理学 2016-09-01 Rob Knoops

We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of the flat space particle theory up to energies of the order of the Planck mass. In the…

高能物理 - 理论 · 物理学 2023-07-24 Georgios K. Karananas , Mikhail Shaposhnikov , Sebastian Zell

Weyl invariant gravity has been investigated as the fundamental theory of the vector inflation. Accordingly, we consider a Weyl invariant extension of Dirac-Born-Infeld type gravity. We find that an appropriate choice of the metric removes…

广义相对论与量子宇宙学 · 物理学 2012-10-02 Takuya Maki , Nahomi Kan , Kiyoshi Shiraishi

General Relativity is not the definitive theory of Gravitation due to several shortcomings which are coming out both from theoretical and experimental viewpoints. At large scales (astrophysical and cosmological scales) the attempts to match…

广义相对论与量子宇宙学 · 物理学 2014-11-20 S. Capozziello , M. De Laurentis , M. Francaviglia , S. Mercadante

This is an introduction to an algebraic construction of a gravity theory on noncommutative spaces which is based on a deformed algebra of (infinitesimal) diffeomorphisms. We start with some fundamental ideas and concepts of noncommutative…

高能物理 - 理论 · 物理学 2007-05-23 Frank Meyer

We consider gravity in four dimensions in the vielbein formulation, where the fundamental variables are a tetrad $e$ and a SO(3,1) connection $\omega$. We start with the most general action principle compatible with diffeomorphism…

广义相对论与量子宇宙学 · 物理学 2016-04-26 Alejandro Corichi , Irais Rubalcava-Garcia , Tatjana Vukasinac

The Hamiltonian formulation of N-bein, Einstein-Cartan, gravity, using its first order form in any dimension higher than two, is analyzed. This Hamiltonian formulation allows to explicitly show where peculiarities of three dimensional case…

广义相对论与量子宇宙学 · 物理学 2009-07-11 N. Kiriushcheva , S. V. Kuzmin

We construct explicitly deformations of Einstein's theory of gravity that are consistent and phenomenologically viable since they respect, in particular, cosmological backgrounds. We show that these deformations have unique symmetries in…

高能物理 - 理论 · 物理学 2013-05-30 Felix Berkhahn , Dennis Dietrich , Stefan Hofmann , Florian Kühnel , Parvin Moyassari

The issues of quintessence and cosmic acceleration can be discussed in the framework of $F(R, {\cal G})$ theories of gravity where $R$ is the Ricci curvature scalar and ${\cal G}$ is the Gauss-Bonnet topological invariant. It is possible to…

广义相对论与量子宇宙学 · 物理学 2015-05-06 Mariafelicia De Laurentis

To guarantee the stability of the cosmological constant sector against radiative corrections coming from quantum matter fields, one of the most natural ingredients to invoke is the symmetry under scale transformations of the gravitational…

广义相对论与量子宇宙学 · 物理学 2015-07-01 Raúl Carballo-Rubio

A modified gravitational action is considered which involves the quantity $F_{\mu\nu}=\partial_{\mu}\Gamma_{\nu}-\partial_{\nu}\Gamma_{\mu}$, where $\Gamma_{\mu}=\Gamma^{\alpha}_{\mu\alpha}$. Since $\Gamma_{\mu}$ transforms like a U(1)…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Dan N. Vollick
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