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We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of…

广义相对论与量子宇宙学 · 物理学 2020-05-26 Sandipan Sengupta

An alternative to the effective field theory approach to treat ghosts in higher derivative theories is to attempt to integrate them out via the Euclidean path integral formalism. It has been suggested that this method could provide a…

广义相对论与量子宇宙学 · 物理学 2011-05-25 Michele Fontanini , Mark Trodden

We discuss the no-ghost theorem in the massive gravity in a covariant manner. Using the BRST formalism and St\"{u}ckelberg fields, we first clarify how the Boulware-Deser ghost decouples in the massive gravity theory with Fierz-Pauli mass…

高能物理 - 理论 · 物理学 2014-05-07 Taichiro Kugo , Nobuyoshi Ohta

The role played by torsion in gravitation is critically reviewed. After a description of the problems and controversies involving the physics of torsion, a comprehensive presentation of the teleparallel equivalent of general relativity is…

广义相对论与量子宇宙学 · 物理学 2009-11-11 H. I. Arcos , J. G. Pereira

We study quantisation of noncommutative gravity theories in two dimensions (with noncommutativity defined by the Moyal star product). We show that in the case of noncommutative Jackiw-Teitelboim gravity the path integral over gravitational…

高能物理 - 理论 · 物理学 2009-11-10 D. V. Vassilevich

We revisit the definition and some of the characteristics of quadratic theories of gravity with torsion. We start from the most general Lagrangian density quadratic in the curvature and torsion tensors. By assuming that General Relativity…

广义相对论与量子宇宙学 · 物理学 2022-11-07 Teodor Borislavov Vasilev , Jose A. R. Cembranos , Jorge Gigante Valcarcel , Prado Martín-Moruno

We present the manifestly covariant quantization of quadratic gravity or higher-derivative gravity in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance on the basis of the BRST transformation. We…

高能物理 - 理论 · 物理学 2025-05-15 Ichiro Oda

In the recently introduced gauge theory of translations, dubbed Coincident General Relativity, gravity is described with neither torsion nor curvature in the spacetime affine geometry. The action of the theory enjoys an enhanced symmetry…

广义相对论与量子宇宙学 · 物理学 2020-01-08 Jose Beltrán Jiménez , Lavinia Heisenberg , Tomi S. Koivisto

In this Letter we construct the noncommutative (NC) gravity model on the $\theta$-constant NC space-time. We start from the NC $SO(2,3)_\star$ gauge theory and use the enveloping algebra approach and the Seiberg-Witten map to construct the…

高能物理 - 理论 · 物理学 2017-08-02 Marija Dimitrijevic Ciric , Biljana Nikolic , Voja Radovanovic

In this paper we study long distance modifications of gravity obtained by considering actions that are singular in the limit of vanishing curvature. In particular, we showed in a previous publication that models that include inverse powers…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

A Palatini-type action for Einstein and Gauss-Bonnet gravity with non-trivial torsion is proposed. Three-form flux is incorporated via a deformation of the Riemann tensor, and consistency of the Palatini variational principle requires the…

高能物理 - 理论 · 物理学 2015-06-04 Ralph Blumenhagen , Andreas Deser , Erik Plauschinn , Felix Rennecke

We study a $R^{2}$ model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. The model is cast in Hamiltonian form subtracting from the original Lagrangian the total time derivative of $f_{K}f_{R}$, where $f_{K}$ is…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Giampiero Esposito

For both f(R) theories of gravity with an independent symmetric connection (no torsion), usually referred to as Palatini f(R) gravity theories, and for f(R) theories of gravity with torsion but no non-metricity, called U4 theories, it has…

广义相对论与量子宇宙学 · 物理学 2010-04-30 Thomas P. Sotiriou

The purpose of this work is to investigate the consequences of quantum gravity for the singularity problem. We study the higher-derivative terms that invariably appear in any quantum field theoretical model of gravity, handling them both…

高能物理 - 理论 · 物理学 2020-01-22 Iberê Kuntz , Roberto Casadio

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

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

The gauged Lorentz theory with torsion has been argued to have an effective theory whose non-trivial background is responsible for background gravitational curvature if torsion is treated as a quantum-mechanical variable against a…

高能物理 - 理论 · 物理学 2022-03-14 Michael L. Walker , Steven Duplij

The Newtonian limit of the most general fourth order gravity is performed with metric approach in the Jordan frame with no gauge condition. The most general theory with fourth order differential equations is obtained by generalizing the…

广义相对论与量子宇宙学 · 物理学 2010-12-28 A. Stabile

We investigate some cosmological models arising from a non-minimal coupling of a fermionic field to gravity in the geometrical setting of Einstein-Cartan-Sciama-Kibble gravity. The role played by the non-minimal coupling together with…

广义相对论与量子宇宙学 · 物理学 2015-03-05 Stefano Vignolo , Sante Carloni , Luca Fabbri

Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant…

广义相对论与量子宇宙学 · 物理学 2023-10-19 Kazufumi Takahashi