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Gauge symmetries in teleparallel gravity, together with the identities among the dynamical equations they provide, are analyzed in relation to the way they condition the coupling between matter and gravity. Particularly, the coupling of…

广义相对论与量子宇宙学 · 物理学 2023-01-02 Rafael Ferraro

The inclusion of a flat metric tensor in gravitation permits the formulation of a gravitational stress-energy tensor and the formal derivation of general relativity from a linear theory in flat spacetime. Building on the works of Kraichnan…

广义相对论与量子宇宙学 · 物理学 2015-06-25 J. Brian Pitts , W. C. Schieve

We study cosmological perturbations for a ghost free massive gravity theory formulated with a dynamical extra metric that is needed to massive deform GR. In this formulation FRW background solutions fall in two branches. In the dynamics of…

高能物理 - 理论 · 物理学 2012-07-12 Marco Crisostomi , Denis Comelli , Luigi Pilo

The Palatini formalism is developed for gravitational theories in flat geometries. We focus on two particularly interesting scenarios. First, we fix the connection to be metric compatible, but we follow a completely covariant approach by…

广义相对论与量子宇宙学 · 物理学 2018-09-05 Jose Beltran Jimenez , Lavinia Heisenberg , Tomi Koivisto

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 present an extension to the gauge-invariant formulation of the parameterized post-Newtonian (PPN) formalism, which allows its application to symmetric teleparallel gravity theories. In its original formulation, the gauge-invariant PPN…

广义相对论与量子宇宙学 · 物理学 2021-11-12 Manuel Hohmann

The existence of a ghost free theory of massive gravity begs for an interpretation as a Higgs phase of General Relativity. We revisit the study of massive gravity as a Higgs phase. Absent a compelling microphysical model of spontaneous…

高能物理 - 理论 · 物理学 2015-08-06 Garrett Goon , Kurt Hinterbichler , Austin Joyce , Mark Trodden

We study how the coupling with gravity of theories with non-linearly realized space-time symmetries is modified when one changes the parametrization of the coset. As an example, we focus on the so-called Galileon duality: a…

高能物理 - 理论 · 物理学 2016-03-02 Pietro Baratella , Paolo Creminelli , Marco Serone , Gabriele Trevisan

It is known that in f(R) theories of gravity with an independent connection which can be both non-metric and non symmetric, this connection can always be algebraically eliminated in favour of the metric and the matter fields, so long as it…

广义相对论与量子宇宙学 · 物理学 2010-11-03 Vincenzo Vitagliano , Thomas P. Sotiriou , Stefano Liberati

Einstein's General Relativity (GR) is possibly one of the greatest intellectual achievements ever conceived by the human mind. In fact, over the last century, GR has proven to be an extremely successful theory, with a well established…

广义相对论与量子宇宙学 · 物理学 2020-10-28 Tiberiu Harko , Francisco S. N. Lobo

Teleparallel gravity is a modified theory of gravity in which the Ricci scalar $R$ of the Lagrangian replaced by the general function of torsion scalar $T$ in action. With that, cosmology in teleparallel gravity becomes profoundly…

综合物理 · 物理学 2020-09-09 Sanjay Mandal , P. K. Sahoo

Symmetric teleparallel gravity (STG) offers an interesting third geometric interpretation of gravitation besides its formulation in terms of a spacetime metric and Levi-Civita connection or its teleparallel formulation. It describes gravity…

广义相对论与量子宇宙学 · 物理学 2020-07-08 Manuel Hohmann , Christian Pfeifer , Jackson Levi Said , Ulbossyn Ualikhanova

We discuss the most general class of teleparallel scalar-torsion theories of gravity in their covariant formulation. The only restrictions we impose are the invariance of the action under diffeomorphisms and local Lorentz transformations,…

广义相对论与量子宇宙学 · 物理学 2018-09-12 Manuel Hohmann

Recently a scale invariant theory of gravity was constructed by imposing a conformal symmetry on general relativity. The imposition of this symmetry changed the configuration space from superspace - the space of all Riemannian 3-metrics…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Bryan Kelleher

In this paper, we explore the model of $f(Q,T)$ gravity, an extension of symmetric teleparallel gravity where the nonmetricity scalar $Q$ is non-minimally coupled to the trace of the energy-momentum tensor $T$. To ensure general covariance…

广义相对论与量子宇宙学 · 物理学 2025-09-09 Rahul Bhagat , Santosh V. Lohakare , B. Mishra

An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(T,T_G)$ gravity, where $T$ represents the torsion invariant and $T_G$ is the teleparallel equivalent of the Gauss-Bonnet term. It is found…

广义相对论与量子宇宙学 · 物理学 2015-11-04 M. Zubair

Extended Theories of Gravity can be considered a new paradigm to cure shortcomings of General Relativity at infrared and ultraviolet scales. They are an approach that, by preserving the undoubtedly positive results of Einstein's Theory, is…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Salvatore Capozziello , Mariafelicia De Laurentis

In this paper, a new generalised gravity-matter coupled theory of gravity is presented. This theory is constructed by assuming an action with an arbitrary function $f(T,B,L_m)$ which depends on the scalar torsion $T$, the boundary term…

广义相对论与量子宇宙学 · 物理学 2018-04-24 Sebastian Bahamonde

We derive the Hamiltonian function for extended teleparallel theories of gravity in their covariant formulation. In particular, we present the Hamiltonian for $f(T)$ gravity and New General Relativity. From this, we obtain the related…

广义相对论与量子宇宙学 · 物理学 2025-03-21 Francesco Bajardi , Daniel Blixt , Salvatore Capozziello

We study the matter stability in modified teleparallel gravity or $f(T)$ theories. We show that there is no Dolgov-Kawasaki instability in these types of modified teleparallel gravity theories. This give the $f(T)$ theories a great…

广义相对论与量子宇宙学 · 物理学 2015-06-05 A. Behboodi , S. Akhshabi , K. Nozari