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A stealth de Sitter solution in scalar-tensor theories has an exact de Sitter background metric and a nontrivial scalar field profile. Recently, in the context of Degenerate Higher-Order Scalar-Tensor (DHOST) theories it was shown that…

General Relativity and Quantum Cosmology · Physics 2021-03-26 Mohammad Ali Gorji , Hayato Motohashi , Shinji Mukohyama

We formulate the effective field theory (EFT) of vector-tensor gravity for perturbations around an arbitrary background with a ${\it timelike}$ vector profile, which can be applied to study black hole perturbations. The vector profile…

High Energy Physics - Theory · Physics 2024-03-08 Katsuki Aoki , Mohammad Ali Gorji , Shinji Mukohyama , Kazufumi Takahashi , Vicharit Yingcharoenrat

Modified gravity theories can accommodate exact solutions, for which the metric has the same form as the one in general relativity, i.e., stealth solutions. One problem with these stealth solutions is that perturbations around them exhibit…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Antonio De Felice , Shinji Mukohyama , Kazufumi Takahashi

We study linear even-parity perturbations of static and spherically symmetric black holes with a timelike scalar profile by use of the effective field theory (EFT) approach. For illustrative purposes, we consider a simple subclass of the…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Shinji Mukohyama , Kazufumi Takahashi , Keitaro Tomikawa , Vicharit Yingcharoenrat

We investigate the scalar perturbations and the possible strong coupling issues of $f(T)$ around a cosmological background, applying the effective field theory (EFT) approach. We revisit the generalized EFT framework of modified…

General Relativity and Quantum Cosmology · Physics 2023-11-22 Yu-Min Hu , Yaqi Zhao , Xin Ren , Bo Wang , Emmanuel N. Saridakis , Yi-Fu Cai

The Hamiltonian analysis for $f(T)$ gravity implies the existence of at least one scalar-type degree of freedom (DoF). However, this scalar DoF of $f(T)$ gravity does not manifest in linear perturbations around a cosmological background,…

General Relativity and Quantum Cosmology · Physics 2024-02-01 Yu-Min Hu , Yang Yu , Yi-Fu Cai , Xian Gao

We formulate the Effective Field Theory (EFT) of perturbations within scalar-tensor theories on an inhomogeneous background. The EFT is constructed while keeping a background of a scalar field to be $\textit{timelike}$, which spontaneously…

High Energy Physics - Theory · Physics 2024-01-11 Shinji Mukohyama , Vicharit Yingcharoenrat

We formulate an effective field theory (EFT) of coupled dark energy (DE) and dark matter (DM) interacting through energy and momentum transfers. In the DE sector, we exploit the EFT of vector-tensor theories with the presence of a preferred…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-24 Katsuki Aoki , Jose Beltrán Jiménez , Masroor C. Pookkillath , Shinji Tsujikawa

We investigate a generic quadratic higher-order scalar-tensor theory with a scordatura term, which is expected to provide a consistent perturbative description of stealth solutions with a timelike scalar field profile. In the DHOST…

General Relativity and Quantum Cosmology · Physics 2023-03-27 Antonio De Felice , Shinji Mukohyama , Kazufumi Takahashi

We develop the effective field theory (EFT) of perturbations in the context of scalar-tensor theories with a spacelike scalar profile on arbitrary black hole backgrounds. Our construction of the EFT is based on the fact that in the unitary…

General Relativity and Quantum Cosmology · Physics 2025-10-16 Shinji Mukohyama , Emeric Seraille , Kazufumi Takahashi , Vicharit Yingcharoenrat

In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Antonio De Felice , Tsutomu Kobayashi , Shinji Tsujikawa

Scalar-tensor gravity is one of the most competitive gravity theory to Einstein's relativity. We reconstruct the exact de Sitter solution in scalar-tensor gravity, in which the non-minimal coupling scalar is rolling along the potential.…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Hongsheng Zhang , Xin-Zhou Li

Effective field theories (EFTs) provide a powerful framework to parametrise unknown aspects of possible ultraviolet (UV) physics. For scalar fields in de Sitter space, however, new emergent phenomena can arise when the cut-off scale of the…

High Energy Physics - Theory · Physics 2025-11-06 Sebastian Cespedes , Zhehan Qin , Dong-Gang Wang

We investigate the strong coupling problem in modified teleparallel gravity theories using the effective field theory (EFT) approach, demonstrating that it is possible to shift the emergence of new degrees of freedom (DoFs) to lower orders…

General Relativity and Quantum Cosmology · Physics 2024-10-07 Yu-Min Hu , Bi-Chu Li , Yang Yu , Martin Krššák , Emmanuel N. Saridakis , Yi-Fu Cai

We discover a surprising relationship between exceptional effective field theories (EFTs) in de Sitter space and a notion of \textit{generalised energy conservation} (GEC) of an S-matrix defined in an extended Poincar\'{e} patch of…

High Energy Physics - Theory · Physics 2025-11-19 Zong-Zhe Du , David Stefanyszyn

The effective field theory (EFT) of cosmological perturbations is a useful framework to deal with the low-energy degrees of freedom present for inflation and dark energy. We review the EFT for modified gravitational theories by starting…

General Relativity and Quantum Cosmology · Physics 2014-11-13 Shinji Tsujikawa

A detailed stability analysis is presented for the de Sitter solution with a homogeneous magnetic field that was recently found in the context of a $U(1)$ gauge theory nonminimally coupled to scalar-tensor gravity. The magnetic field is…

High Energy Physics - Theory · Physics 2018-12-05 Shinji Mukohyama

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild-de Sitter black hole solutions exhibiting time-dependent scalar hair. The properties of these solutions may be studied via a bottom-up effective field theory…

High Energy Physics - Theory · Physics 2023-05-01 Justin Khoury , Toshifumi Noumi , Mark Trodden , Sam S. C. Wong

In the absence of a theory of everything, modern physicists need to rely on other predictive tools and turned to Effective Field Theories (EFTs) in a number of fields, including but not limited to statistical mechanics, condensed matter,…

High Energy Physics - Theory · Physics 2023-08-17 Victor Pozsgay

We investigate the static and spherically symmetric solutions in a class of the generalized Proca theory with the nonminimal coupling to the Einstein tensor. First, we show that the solutions in the scalar-tensor theory with the nonminimal…

General Relativity and Quantum Cosmology · Physics 2016-11-01 Masato Minamitsuji
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