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Teleparallel gravity is an equivalent formulation of general relativity in which instead of the Ricci scalar $R$, one uses the torsion scalar $T$ for the Lagrangian density. Recently teleparallel dark energy has been proposed by Geng et al.…

General Physics · Physics 2015-06-05 A. Banijamali , B. Fazlpour

A new representation is found for the action of the recently suggested ghost-free nonlocal gravity models generating de Sitter or Anti-de Sitter background with an arbitrary value of the effective cosmological constant. This representation…

High Energy Physics - Theory · Physics 2015-06-11 A. O. Barvinsky , Yu. V. Gusev

Teleparallel gravity theories employ a tetrad and a Lorentz spin connection as independent variables in their covariant formulation. In order to solve their field equations, it is helpful to search for solutions which exhibit certain…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Manuel Hohmann , Laur Järv , Martin Krššák , Christian Pfeifer

We perform a fully relativistic analysis of odd-type linear perturbations around a static and spherically symmetric solution in the most general scalar-tensor theory with second-order field equations in four-dimensional spacetime. It is…

General Relativity and Quantum Cosmology · Physics 2017-11-15 Tsutomu Kobayashi , Hayato Motohashi , Teruaki Suyama

Considering the vacuum as characterized by the presence of only the gravitational field, we show that the vacuum energy density of the de Sitter space, in the realm of the teleparallel equivalent of general relativity, can acquire…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. W. Maluf , J. F. da Rocha-Neto

Three models with nonlinear realizations of conformal symmetry are discussed. The simplest model can only describe a universe expanding with a deceleration and does not include inflation. The other models are equivalent up to a variables…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Stanislav Alexeyev , Daniil Krichevskiy , Boris Latosh

Symmetric teleparallel gravity (STG) is an alternative description of the gravitational field as an effect of the nonmetricity rather than the curvature of the spacetime. For an specific choice of the symmetric teleparallel lagrangian, the…

General Relativity and Quantum Cosmology · Physics 2022-12-15 J. E. G. Silva

Although equivalent to general relativity, teleparallel gravity is conceptually speaking a completely different theory. In this theory, the gravitational field is described by torsion, not by curvature. By working in this context, a new…

General Relativity and Quantum Cosmology · Physics 2015-11-30 Giovanni Otalora

We investigate the particle content of parity-preserving Weyl gauge theories of gravity (WGT$^+$) about a Minkowski background. Within a subset of the full theory, we use a systematic method previously presented in [arXiv:1812.02675] to…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Yun-Cherng Lin , Michael P. Hobson , Anthony N. Lasenby

We study ghosts in multimetric gravity by combining the mini-superspace and the Hamiltonian constraint analysis. We first revisit bimetric gravity and explain why it is ghost-free. Then, we apply our method to trimetric gravity and clarify…

High Energy Physics - Theory · Physics 2013-05-30 Kouichi Nomura , Jiro Soda

The Gauss-Bonnet invariant connects foundational aspects of geometry with physical phenomena in a variety of ways. Teleparallel gravity offers a novel direction in which to use the Gauss-Bonnet invariant to go beyond standard cosmology. In…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Shivam Kumar Mishra , Jackson Levi Said , B. Mishra

We present a comprehensive analysis of classical scalar, vector and tensor cosmological perturbations in ghost-free massive bigravity. In particular, we find the full evolution equations and analytical solutions in a wide range of regimes.…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Macarena Lagos , Pedro G. Ferreira

We study a metric cubic gravity theory considering odd-parity modes of linear inhomogeneous perturbations on a spatially homogeneous Bianchi type I manifold close to the isotropic de Sitter spacetime. We show that in the regime of small…

General Relativity and Quantum Cosmology · Physics 2020-07-20 Masroor C. Pookkillath , Antonio De Felice , Alexei A. Starobinsky

The pursuit of understanding the mysteries surrounding dark energy has sparked significant interest within the field of cosmology. While conventional approaches, such as the cosmological constant, have been extensively explored, alternative…

General Relativity and Quantum Cosmology · Physics 2024-08-02 Oem Trivedi , Maxim Khlopov , Jackson Levi Said , Rafael C. Nunes

We consider the most general teleparallel theory of gravity whose action is a linear combination of the five scalar invariants which are quadratic in the torsion tensor. Since two of these invariants possess odd parity, they naturally allow…

General Relativity and Quantum Cosmology · Physics 2021-05-11 Manuel Hohmann , Christian Pfeifer

This thesis investigates the characteristics of modified teleparallel gravity models that incorporate a scalar field and a trace of the energy-momentum tensor, with particular attention to their cosmological effects, especially regarding…

General Relativity and Quantum Cosmology · Physics 2025-10-06 L K Duchaniya

We investigate the scalar and vector modes arising from cosmological perturbations within the framework of an inflationary scenario driven by an antisymmetric tensor field, minimally coupled to gravity. After eliminating gauge artifacts,…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Abhijith Ajith , Sukanta Panda

We develop a symmetric teleparallel gravity model in a space-time with only the non-metricity is nonzero, in terms of a Lagrangian quadratic in the non-metricity tensor. We present a detailed discussion of the variations that may be used…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Muzaffer Adak , Mestan Kalay , Ozcan Sert

General Teleparallel theories assume that curvature is vanishing in which case gravity can be solely represented by torsion and/or nonmetricity. Using differential form language, we express the Riemannian Gauss-Bonnet invariant concisely in…

General Relativity and Quantum Cosmology · Physics 2023-11-13 Juan Manuel Armaleo , Sebastian Bahamonde , Georg Trenkler , Leonardo G. Trombetta

In theories such as teleparallel gravity and its extensions, the frame basis replaces the metric tensor as the primary object of study. A choice of coordinate system, frame basis and spin-connection must be made to obtain a solution from…

General Relativity and Quantum Cosmology · Physics 2024-02-28 A. A. Coley , R. J. van den Hoogen , D. D. McNutt
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