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We study the frame dependence/independence of cosmological observables under disformal transformations, extending the previous results regarding conformal transformations, and provide the correspondence between Jordan-frame and…

广义相对论与量子宇宙学 · 物理学 2020-06-17 Takeshi Chiba , Fabio Chibana , Masahide Yamaguchi

We investigate the gauge-invariant cosmological perturbations in the gravity and matter frames in the general scalar-tensor theory where two frames are related by the disformal transformation. The gravity and matter frames are the…

宇宙学与河外天体物理 · 物理学 2014-09-05 Masato Minamitsuji

The Jordan frame action for general disformal theories is presented and studied for the first time, motivated by several unresolved mysteries that arise when working in the Einstein frame. We present the Friedmann equations and,…

广义相对论与量子宇宙学 · 物理学 2015-12-23 Jeremy Sakstein , Sarunas Verner

Scalar-Tensor theories of gravity can be formulated in different frames, most notably, the Einstein and the Jordan one. While some debate still persists in the literature on the physical status of the different frames, a frame…

天体物理学 · 物理学 2008-11-26 R. Catena , M. Pietroni , L. Scarabello

A general scalar-tensor theory can be formulated in different parametrizations that are related by a conformal rescaling of the metric and a scalar field redefinition. We compare formulations of slow-roll regimes in the Einstein and Jordan…

广义相对论与量子宇宙学 · 物理学 2016-10-12 Piret Kuusk , Mihkel Rünkla , Margus Saal , Ott Vilson

We consider a scenario of large-scale modification of gravity that does not invoke extra degrees of freedom but includes coupling between baryonic matter and dark matter in the Einstein frame. The total matter energy density follows the…

广义相对论与量子宇宙学 · 物理学 2022-11-23 Mayukh R. Gangopadhyay , Shibesh K. Jas Pacif , M. Sami , Mohit K. Sharma

Disformal theories of gravity are scalar-tensor theories where the scalar couples derivatively to matter via the Jordan frame metric. These models have recently attracted interest in the cosmological context since they admit accelerating…

广义相对论与量子宇宙学 · 物理学 2015-11-04 Hiu Yan Ip , Jeremy Sakstein , Fabian Schmidt

We investigate static and spherically symmetric stars disformally coupled to a scalar field. The scalar field is assumed to be shift symmetric, and hence the conformal and disformal factors of the metric coupled to matter are dependent only…

广义相对论与量子宇宙学 · 物理学 2021-11-17 Tact Ikeda , Aya Iyonaga , Tsutomu Kobayashi

We consider the slowly rotating relativistic stars with a uniform angular velocity in the scalar-tensor gravity, and examine the rotational effect around such compact objects. For this purpose, we derive a 2nd order differential equation…

高能天体物理现象 · 物理学 2015-06-12 Hajime Sotani

In this work, we explore disformal transformations in the context of the teleparallel equivalent of general relativity and modified teleparallel gravity. We present explicit formulas in components for disformal transformations of the main…

广义相对论与量子宇宙学 · 物理学 2020-01-15 Alexey Golovnev , Maria Jose Guzman

Non-minimal scalar-tensor (ST) theories may admit an Einstein frame representation, where gravity is described by the Einstein-Hilbert action plus the scalar sector. Some STs become just {\em minimal} Einstein-scalar (MES) theories, notable…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Dmitri Gal'tsov

The disformal transformation of metric $g_{\mu \nu} \to \Omega^2 (\phi)g_{\mu \nu}+\Gamma(\phi,X) \partial_{\mu}\phi \partial_{\nu}\phi$, where $\phi$ is a scalar field with the kinetic energy $X= \partial_{\mu}\phi \partial^{\mu}\phi/2$,…

广义相对论与量子宇宙学 · 物理学 2015-10-07 Shinji Tsujikawa

The Horndeski action is the most general one involving a metric and a scalar field that leads to second order field equations in four dimensions. Being the natural extension of the well known Scalar-Tensor theories, its structure and…

广义相对论与量子宇宙学 · 物理学 2013-10-22 Dario Bettoni , Stefano Liberati

No experiment can measure an absolute scale: every dimensionfull quantity has to be compared to some fixed unit scale in order to be measured, and thus only dimensionless quantities are really physical. The Einstein and Jordan frame are…

宇宙学与河外天体物理 · 物理学 2014-11-19 Marieke Postma , Marco Volponi

The theory of gravity with a quadratic contribution of scalar curvature is investigated using a dynamical systems approach. The simplest Friedmann--Robertson--Walker metric is employed to formulate the dynamics in both the Jordan frame and…

广义相对论与量子宇宙学 · 物理学 2024-12-19 Orest Hrycyna

We study disformal transformations of cosmological perturbations by vector fields in theories invariant under U(1) gauge transformations. Three types of vector disformal transformations are considered: (i) disformal transformations by a…

高能物理 - 理论 · 物理学 2018-03-28 Vassilis Papadopoulos , Moslem Zarei , Hassan Firouzjahi , Shinji Mukohyama

We provide the correspondence between the variables in the Jordan frame and those in the Einstein frame in scalar-tensor gravity and consider the frame-(in)dependence of the cosmological observables. In particular, we show that the…

广义相对论与量子宇宙学 · 物理学 2015-06-16 Takeshi Chiba , Masahide Yamaguchi

Disformal transformation is a generalisation of the well-known conformal transformation commonly elaborated in mainstream graduate texts in gravity (relativity) and modern cosmology. This transformation is one of the most important…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Allan L. Alinea

We study disformal transformations of the metric in the cosmological context. We first consider the disformal transformation generated by a scalar field $\phi$ and show that the curvature and tensor perturbations on the uniform $\phi$…

广义相对论与量子宇宙学 · 物理学 2015-09-02 Yuki Watanabe , Atsushi Naruko , Misao Sasaki

Cosmological solutions of the Brans-Dicke theory with an added cosmological constant are investigated with an emphasis to select a conformal frame in order to implement the scenario of a decaying cosmological constant, featuring an ever…

广义相对论与量子宇宙学 · 物理学 2009-10-30 Yasunori Fujii
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