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Despite the enormous significance of the Higgs potential in the context of the Standard Model of electroweak interactions and in Grand Unified Theories, its ultimate origin is fundamentally unknown and must be introduced by hand in…

General Relativity and Quantum Cosmology · Physics 2018-03-01 Joan Sola , Elahe Karimkhani , A. Khodam-Mohammadi

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 systematically construct ghost-free scalar-tensor theories whose Lagrangian includes up to third-order derivatives of the scalar field. Using a spatially covariant action written in terms of the ADM variables, we impose degeneracy and…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Masaki Michiwaki , Tsutomu Kobayashi

Gravitational waves provide a new probe into the strong-field regime of gravity. It is thus essential to identify the predictions of General Relativity on the nature of the two-body problem, and to contrast them to alternative theories.…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Adrien Kuntz

In this work we study the cosmological perturbations in Bahamonde-Dialektopoulos-Levi Said (BDLS) theory, i.e. the teleparallel analog of Horndeski gravity. In order to understand the evolution of structure in a cosmological model, it is…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Bobomurat Ahmedov , Konstantinos F. Dialektopoulos , Jackson Levi Said , Abdurakhmon Nosirov , Odil Yunusov , Zinovia Oikonomopoulou

Several extensions of General Relativity and high energy physics include scalar fields as extra degrees of freedom. In the search for predictions in the non-linear regime of cosmological evolution, the community makes use of numerical…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-04 Claudio Llinares , David Mota

In this work we study the cosmological attractor models of inflation in connection with certain scalar-tensor theories of gravity, e.g $f(R)$ gravity and Brans-Dicke theory. For some particular choices of the functional degrees of freedom…

General Relativity and Quantum Cosmology · Physics 2018-06-13 Sukannya Bhattacharya , Kumar Das , Koushik Dutta

In general the speed of Gravitational Waves (GWs) in Scalar-Tensor modifications of Einstein's gravity is different from the speed of Light. Nevertheless, it has been measured that their speeds are nearly the same. For the most general…

High Energy Physics - Theory · Physics 2025-05-09 S. Mironov , A. Shtennikova , M. Valencia-Villegas

We consider scalar-tensor theories of gravity in an accelerating universe. The equations for the background evolution and the perturbations are given in full generality for any parametrization of the Lagrangian, and we stress that apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 G. Esposito-Farese , D. Polarski

Modifications to gravity can provide attractive alternatives to the dark components of the standard model of cosmology. These modifications to general relativity (GR) must be hidden at small scales where theory is well tested, and so one…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-06 Benjamin Bose

We study the structure of scalar-tensor theories of gravity based on derivative couplings between the scalar and the matter degrees of freedom introduced through an effective metric. Such interactions are classified by their tensor…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Miguel Zumalacárregui , Juan García-Bellido

There does not exist a notion of time which could be transferred straightforwardly from classical to quantum gravity. For this reason, a method of time quantification which would be appropriate for gravity quantization is being sought. One…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Anna Nakonieczna , Dong-han Yeom

Theories of gravity in the beyond Horndeski class recover the predictions of general relativity in the solar system whilst admitting novel cosmologies, including late-time de Sitter solutions in the absence of a cosmological constant.…

General Relativity and Quantum Cosmology · Physics 2017-03-08 Jeremy Sakstein , Michael Kenna-Allison , Kazuya Koyama

We revisit the status of scalar-tensor theories with applications to dark energy in the aftermath of the gravitational wave signal GW170817 and its optical counterpart GRB170817A. At the level of the cosmological background, we identify a…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Edmund J. Copeland , Michael Kopp , Antonio Padilla , Paul M. Saffin , Constantinos Skordis

In this paper, we investigate the role of scalar field potentials in the dynamical evolution of the Universe. A gravity theory with a non-minimally coupled scalar field with torsion in the geometrical action simulating effective dark energy…

General Relativity and Quantum Cosmology · Physics 2024-09-05 B. Mishra , S. A. Kadam , S. K. Tripathy

The Advanced LIGO and Virgo collaborations recently detected a gravitational wave event, GW230529\_181500, during the fourth observing run, which is most plausibly attributed to the merger of a neutron star and a black hole. This…

General Relativity and Quantum Cosmology · Physics 2025-10-23 Baoxiang Wang , Tao Yang

Degenerate scalar-tensor theories are recently proposed covariant theories of gravity coupled with a scalar field. Despite being characterised by higher order equations of motion, they do not propagate more than three degrees of freedom,…

High Energy Physics - Theory · Physics 2017-03-08 Javier Chagoya , Gianmassimo Tasinato

The Horndeski theory is known as the most general scalar-tensor theory with second-order field equations. In this paper, we explore the bi-scalar extension of the Horndeski theory. Following Horndeski's approach, we determine all the…

General Relativity and Quantum Cosmology · Physics 2015-10-27 Seiju Ohashi , Norihiro Tanahashi , Tsutomu Kobayashi , Masahide Yamaguchi

Degenerate Higher Order Scalar Tensor (DHOST) theories are the most general scalar-tensor theories whose Lagrangian depends on the metric tensor and a single scalar field and its derivatives up to second order. They propagate only one…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-06 Andrei Lazanu

We study the cosmological evolution of massless single-field scalar-tensor theories of gravitation from the time before the onset of $e^+e^-$ annihilation and nucleosynthesis up to the present. The cosmological evolution together with the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 D. I. Santiago , D. Kalligas , R. V. Wagoner