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This is the fourth paper in a series of four in which we use space adiabatic methods in order to incorporate backreactions among the homogeneous and between the homogeneous and inhomogeneous degrees of freedom in quantum cosmological…

General Relativity and Quantum Cosmology · Physics 2019-09-17 S. Schander , T. Thiemann

We study the model space generated by the time-dependent operator coefficients in the effective field theory of the cosmological background evolution and perturbations of modified gravity and dark energy models. We identify three classes of…

Cosmology and Nongalactic Astrophysics · Physics 2015-02-03 Lucas Lombriser , Andy Taylor

Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi

In this article,we investigate some features of the perturbation theory in spatially closed universe. We will show that the perturbative field equations in a spatially closed universe always have two independent adiabatic solutions provided…

Cosmology and Nongalactic Astrophysics · Physics 2014-06-06 Ali A. Asgari , Amir H. Abbassi , Jafar Khodagholizadeh

Considering an anisotropic cosmological background is an interesting and simultaneously challenging problem of theoretical physics, since we not only assume a high degree of anisotropy in the early stages of the Universe, but also observe…

General Relativity and Quantum Cosmology · Physics 2024-03-27 S. Mironov , A. Shtennikova

Matter coupling in modified gravity theories is a nontrivial issue when the gravitational Lagrangian possesses a degeneracy structure to avoid the problem of the Ostrogradsky ghost. Recently, this issue was addressed for bosonic matter…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Kazufumi Takahashi , Rampei Kimura , Hayato Motohashi

We consider Einstein-Horndeski gravity with a negative bare constant as a holographic model to investigate whether a scale invariant quantum field theory can exist without the full conformal invariance. Einstein-Horndeski gravity can admit…

High Energy Physics - Theory · Physics 2019-09-04 Yue-Zhou Li , H. Lu , Hao-Yu Zhang

We study the growth of subhorizon perturbations in brane-induced gravity using perturbation theory. We solve for the linear evolution of perturbations taking advantage of the symmetry under gauge transformations along the extra-dimension to…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-10 Roman Scoccimarro

We study the third order solutions of the cosmological density perturbations in the Horndeski's most general scalar-tensor theory under the condition that the Vainshtein mechanism is at work. In this work, we thoroughly investigate the…

General Relativity and Quantum Cosmology · Physics 2015-11-25 Yuichiro Takushima , Ayumu Terukina , Kazuhiro Yamamoto

Future observations of the large-scale structure have the potential to investigate cosmological models with a high degree of complexity, including the properties of gravity on large scales, the presence of a complicated dark energy…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-26 Robert Reischke , Alessio Spurio Mancini , Björn Malte Schäfer , Philipp M. Merkel

Phenomenological functions $\Sigma$ and $\mu$, also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$, are commonly used to parameterize modifications of the growth of large-scale structure in alternative theories of gravity. We study the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-21 Simone Peirone , Kazuya Koyama , Levon Pogosian , Marco Raveri , Alessandra Silvestri

The dipole anomaly in the power spectrum of CMB may indicate that the Lorentz boost invarianc is violated at cosmic scale. We assume that the Lorentz symmetry is violated partly from the scale of galaxy. We employ the symmetry of very…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Yiwei Wu , Xun Xue , Lixiang Yang , Tzu-Chiang Yuan

Recently, a generalization of invertible disformal transformations containing higher-order derivatives of a scalar field has been proposed in the context of scalar-tensor theories of gravity. By applying this generalized disformal…

General Relativity and Quantum Cosmology · Physics 2023-08-21 Tact Ikeda , Kazufumi Takahashi , Tsutomu Kobayashi

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

We use growth of structure data to constrain the effective field theory of dark energy. Considering as case study Horndeski theories with the speed of gravitational waves equal to that of light, we show how constraints on the free…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-14 Louis Perenon , Julien Bel , Roy Maartens , Alvaro de la Cruz-Dombriz

Phenomenological functions $\Sigma$ and $\mu$ (also known as $G_{\rm light}/G$ and $G_{\rm matter}/G$) are commonly used to parameterize possible modifications of the Poisson equation relating the matter density contrast to the lensing and…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-15 Levon Pogosian , Alessandra Silvestri

We present a detailed study of a simple scalar field model that yields non-singular cosmological solutions. We study both the qualitative dynamics of the homogeneous and isotropic background and the evolution of inhomogeneous linear…

Astrophysics · Physics 2009-11-10 Laura E. Allen , David Wands

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

We show that for Horndeski theories it is possible to derive mathematically compact consistency relations (CR) between physically observable quantities, valid for different classes of theories defined by the behavior of the brading function…

General Relativity and Quantum Cosmology · Physics 2025-10-03 Antonio Enea Romano

Various gravity theories beyond general relativity have been rigorously investigated in the literature such as Horndeski and degenerate higher-order scalar-tensor (DHOST) theories. In general, numerous model parameters are involved in such…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-04 Sora Yamashita , Takahiko Matsubara , Tomo Takahashi , Daisuke Yamauchi