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Parity-violating interactions are ubiquitous phenomena in particle physics. If they are significant during cosmic inflation, they can leave imprints on primordial perturbations and be observed in correlation functions of galaxy surveys.…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-21 Yunjia Bao , Lian-Tao Wang , Zhong-Zhi Xianyu , Yi-Ming Zhong

We consider the notion of cosmological symmetry, i.e., spatial homogeneity and isotropy, in the field of teleparallel gravity and geometry, and provide a complete classification of all homogeneous and isotropic teleparallel geometries. We…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Manuel Hohmann

Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenb\"ock connection which describes torsion rather than curvature. Surprisingly, Teleparallel…

General Relativity and Quantum Cosmology · Physics 2020-07-23 Maria Caruana , Gabriel Farrugia , Jackson Levi Said

In the present study, we consider an extended form of teleparallel Lagrangian $f(T,\phi,X)$, as function of a scalar field $\phi$, its kinetic term $X$ and the torsion scalar $T$. We use linear perturbations to obtain the equation of matter…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Habib Abedi , Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We present a direct confirmation of the validity of the equivalence principle for unstructured test bodies in scalar tensor gravity. Our analysis is complementary to previous approaches and valid for a large class of scalar-tensor theories…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Dirk Puetzfeld , Yuri N. Obukhov

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

General relativity characterizes gravity as a geometric property exhibited on spacetime by massive objects while teleparallel gravity achieves the same results, at the level of equations, by taking a torsional perspective of gravity.…

General Relativity and Quantum Cosmology · Physics 2018-01-17 Soumya Chakrabarti , Jackson Levi Said , Gabriel Farrugia

Parity-violating (PV) gravity has recently attracted interest in several aspects. One of them is the axion-graviton coupling to test the axion-dark matter model. Moreover, by extending Chern-Simons (CS) gravity to include derivatives of a…

General Relativity and Quantum Cosmology · Physics 2020-08-31 Kei Yamada , Takahiro Tanaka

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 recent work minimal theories allowing the variation of the cosmological constant by means of a balancing torsion, have been proposed. It was found that such theories contain parity violating homogeneous and isotropic solutions, due to a…

General Relativity and Quantum Cosmology · Physics 2021-12-21 Stephon Alexander , Leah Jenks , Pavel Jiroušek , João Magueijo , Tom Złośnik

We examine the teleparallel formulation of non-minimally coupled scalar Einstein-Gauss-Bonnet gravity. In the teleparallel formulation, gravity is described by torsion instead of curvature, causing the usual Gauss-Bonnet invariant expressed…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Sebastian Bahamonde , Daniela D. Doneva , Ludovic Ducobu , Christian Pfeifer , Stoytcho S. Yazadjiev

One of the interesting features about field theories in odd dimensions is the induction of parity violating terms and well-defined {\em finite} topological actions via quantum loops if a fermion mass term is originally present and…

High Energy Physics - Theory · Physics 2015-06-26 R. Delbourgo , A. B. Waites

We present a method for parametrizing linear cosmological perturbations of theories of gravity, around homogeneous and isotropic backgrounds. The method is sufficiently general and systematic that it can be applied to theories with any…

General Relativity and Quantum Cosmology · Physics 2016-08-17 Macarena Lagos , Tessa Baker , Pedro G. Ferreira , Johannes Noller

We propose a new model in the teleparallel framework where we consider a scalar field nonminimally coupled to both the torsion $T$ and a boundary term given by the divergence of the torsion vector $B=\frac{2}{e}\partial_\mu (eT^\mu)$. This…

General Relativity and Quantum Cosmology · Physics 2016-04-26 Sebastian Bahamonde , Matthew Wright

Using dispersion relations of the scattering amplitudes and semi-definite programming, we calculate causality bounds on the Wilson coefficients in scalar-tensor effective field theories that include parity-violating operators. Particular…

High Energy Physics - Theory · Physics 2025-05-23 Hao Xu , Dong-Yu Hong , Zhuo-Hui Wang , Shuang-Yong Zhou

We study the extensions of teleparallism in the Kaluza-Klein (KK) scenario by writing the analogous form to the torsion scalar $T_{\text{NGR}}$ in terms of the corresponding antisymmetric tensors, given by $T_{\text{NGR}} = a\,T_{ijk} \,…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Chao-Qiang Geng , Ling-Wei Luo

We derive constraints on the four dimensional energy-momentum tensor from gravitational and gauge anomalies. Our work can be considered an extension of Duff's analysis [1] to include parity-odd terms and explicit symmetry breaking. The…

High Energy Physics - Theory · Physics 2024-04-18 Rémy Larue , Jérémie Quevillon , Roman Zwicky

The existence and the stability conditions for some exact relativistic solutions of special interest are studied in a higher-order modified teleparallel gravitational theory. The theory with the use of a Lagrange multiplier is equivalent…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Andronikos Paliathanasis

We investigate compact objects in modified teleparallel gravity with realistic equations of state. We propose a modification of Teleparallel Equivalent to General Relativity, then an appropriate tetrad is applied to the field equations. A…

General Relativity and Quantum Cosmology · Physics 2023-04-26 S. G. Vilhena , S. B. Duarte , M. Dutra , P. J. Pompeia

We investigate the parity-violating scalar-tensor theory and pay special attention to terms that are free of the Ostrogradsky ghost in the unitary gauge, i.e., when the scalar field possesses a timelike gradient. We exhaustively identify…

High Energy Physics - Theory · Physics 2024-05-31 Yu-Min Hu , Xian Gao