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General relativity has two fundamental problems that render it unsuitable for tackling the gravitational field's quantization. The first problem is the lack of a genuine gravitational variable representing gravitation only, inertial forces…

General Relativity and Quantum Cosmology · Physics 2020-12-17 J. G. Pereira , D. F. López

Teleparallel gravity and its popular generalization $f(T)$ gravity can be formulated as fully invariant (under both coordinate transformations and local Lorentz transformations) theories of gravity. Several misconceptions about teleparallel…

General Relativity and Quantum Cosmology · Physics 2019-09-25 M. Krssak , R. J. van den Hoogen , J. G. Pereira , C. G. Boehmer , A. A. Coley

We investigate instabilities and their regularization in theories of gravitation. Instabilities can be beneficial since their growth often leads to prominent observable signatures which makes them especially relevant to relatively low…

General Relativity and Quantum Cosmology · Physics 2019-04-16 Fethi M Ramazanoğlu

We show that dynamical Chern-Simons (dCS) gravity imprints a parity-violating signal in primordial scalar perturbations. Specifically, we find that, after dCS amplifies one graviton helicity due to a tachyonic instability, the…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-10 Cyril Creque-Sarbinowski , Stephon Alexander , Marc Kamionkowski , Oliver Philcox

A generalized teleparallel cosmological model, $f(T_\mathcal{G},T)$, containing the torsion scalar $T$ and the teleparallel counterpart of the Gauss-Bonnet topological invariant $T_{\mathcal{G}}$, is studied in the framework of the Noether…

General Relativity and Quantum Cosmology · Physics 2016-12-21 Salvatore Capozziello , Mariafelicia De Laurentis , Konstantinos F. Dialektopoulos

We study gravity coupled to a cosmological constant and a scale but not conformally invariant sector. In Minkowski vacuum, scale invariance is spontaneously broken. We consider small fluctuations around the Minkowski vacuum. At the…

High Energy Physics - Theory · Physics 2016-06-22 Stefan Forste , Paul Manz

In this article we will construct the most general torsion-free parity-invariant covariant theory of gravity that is free from ghost-like and tachyonic nstabilities around constant curvature space-times in four dimensions. Specifically,…

High Energy Physics - Theory · Physics 2016-02-29 Tirthabir Biswas , Alexey S. Koshelev , Anupam Mazumdar

Modified gravity theories on cosmic scales have three key deviations from general relativity. They can cause cosmic acceleration without a physical, highly negative pressure fluid, can cause a gravitational slip between the two metric…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-04 Eric V. Linder

We construct a Weyl transverse diffeomorphism invariant theory of teleparallel gravity by employing the Weyl compensator formalism. The low-energy dynamics has a single spin two gravition without a scalar degree of freedom. By construction,…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Yu Nakayama

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 will address the question of the consistency of teleparallel theories in presence of spinning matter which has been a controversial subject of discussion over the last twenty years. We argue that the origin of the problem is not simply…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M. Leclerc

We perform detailed investigation of cosmological perturbations in f(T) theory of gravity coupled with scalar field. Our work emphasizes on the way to gauge fix the theory and we examine all possible modes of perturbations up to second…

General Relativity and Quantum Cosmology · Physics 2013-06-24 Keisuke Izumi , Yen Chin Ong

The possibility of parity violation in a gravitational theory with torsion is extensively explored in four and higher dimensions. In the former case,we have listed our conclusions on when and whether parity ceases to be conserved, with both…

High Energy Physics - Theory · Physics 2009-11-07 Biswarup Mukhopadhyaya , Somasri Sen , Soumitra SenGupta , Saurabh Sur

A theory with the action combining the Einstein--Hilbert term and graviton mass terms violating Lorentz invariance is considered at linearized level about Minkowskian background. It is shown that with one of the masses set equal to zero,…

High Energy Physics - Theory · Physics 2007-05-23 V. Rubakov

In this paper we propose a new dark energy model in the teleparallel alternative of general relativity, by considering a generalized non--minimal coupling of a tachyonic scalar field with the teleparallel boundary term. Within the framework…

General Relativity and Quantum Cosmology · Physics 2019-04-15 Sebastian Bahamonde , Mihai Marciu , Jackson Levi Said

Chern-Simons gravity is known to suffer from graviton ghost production during inflation, which suppresses the parity-violating power spectrum at scales relevant to cosmic microwave background observations. In this work, we show that…

High Energy Physics - Theory · Physics 2024-09-17 Perseas Christodoulidis , Jinn-Ouk Gong , Wei-Chen Lin , Maria Mylova , Misao Sasaki

This paper presents a new higher derivative gravity which in spontaneous breaking electroweak symmetry state does not have ghost in gravity sector. We show that Newton constant of the gravity and dark energy density they depend on the…

High Energy Physics - Theory · Physics 2015-06-04 V. I. Tkach

We investigate spontaneous symmetry breaking in a conformally invariant gravitational model. In particular, we use a conformally invariant scalar tensor theory as the vacuum sector of a gravitational model to examine the idea that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yousef Bisabr

Anomalous parity violation in four dimensions would be significant for phenomenology (baryogenesis, gravitational waves) and mathematical physics. Over the past decade, there has been a controversy in the literature as to whether free Weyl…

High Energy Physics - Theory · Physics 2024-11-04 Rémy Larue , Jérémie Quevillon , Roman Zwicky

We investigate the cosmological dynamics in teleparallel gravity with nonminimal coupling. We analytically extract several asymptotic solutions and we numerically study the exact phase-space behavior. Comparing the obtained results with the…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Maria Skugoreva , Emmanuel Saridakis , Alexey Toporensky