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We derive the scalar-tensor Hamiltonian constraint to all orders of momenta when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. We find that the momenta and…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Rhiannon Cuttell , Mairi Sakellariadou

We examine the variational and conformal structures of higher order theories of gravity which are derived from a metric-connection Lagrangian that is an arbitrary function of the curvature invariants. We show that the constrained first…

General Relativity and Quantum Cosmology · Physics 2009-10-30 S. Cotsakis , J. Miritzis , L. Querella

Scalar fields play an important role in constructing modified gravity theories. In the case of a single scalar field with timelike gradient, the corresponding Lagrangian in the unitary gauge takes the form of spatially covariant gravity…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Yang Yu , Zheng Chen , Xian Gao

In this paper we consider scalar-tensor theories, allowing for both conformal and disformal couplings to a fluid with a generic equation of state. We derive the effective coupling for both background cosmology and for perturbations in that…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 C. van de Bruck , G. Sculthorpe

Some problems of spontaneous and gravitational baryogenesis are discussed. Gravity modification due to the curvature dependent term in gravitational baryogensis scenario is considered. It is shown that the interaction of baryonic fields…

General Relativity and Quantum Cosmology · Physics 2018-12-05 E. V. Arbuzova

It has been argued that the small perturbations to the homogeneous and isotropic configurations of a canonical scalar field in an expanding universe do not grow. We show that this is not true in general, and clarify the root of the…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Miguel Alcubierre , Axel de la Macorra , Alberto Diez-Tejedor , José M. Torres

Cosmology in extended theories of gravity is considered assuming the Palatini variational principle, for which the metric and connection are independent variables. The field equations are derived to linear order in perturbations about the…

Astrophysics · Physics 2015-06-24 Tomi Koivisto , Hannu Kurki-Suonio

We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Marco de Cesare , Mairi Sakellariadou , Benjamin Sutton

We perform an in-depth analysis of the transformation rules under duality for couplings of theories containing multiple scalars, $p$-form gauge fields, linearized gravitons or $(p,1)$ mixed symmetry tensors. Following a similar reasoning to…

High Energy Physics - Theory · Physics 2021-04-07 Athanasios Chatzistavrakidis , Georgios Karagiannis , Arash Ranjbar

We discuss a class of teleparallel scalar-torsion theories of gravity, which is parametrized by five free functions of the scalar field. The theories are formulated covariantly using a flat, but non-vanishing spin connection. We show how…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Manuel Hohmann

We study in the physical frame the phenomenon of spontaneous scalarization that occurs in scalar-tensor theories of gravity for compact objects. We discuss the fact that the phenomenon occurs exactly in the regime where the Newtonian…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Marcelo Salgado , Daniel Sudarsky , Ulises Nucamendi

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…

General Relativity and Quantum Cosmology · Physics 2013-10-22 Dario Bettoni , Stefano Liberati

We construct effective field theories in which gravity is modified via spontaneous breaking of local Lorentz invariance. This is a gravitational analogue of the Higgs mechanism. These theories possess additional graviton modes and modified…

High Energy Physics - Theory · Physics 2008-11-26 B. M. Gripaios

Disformal transformations have proven to be very useful to devise models of the dark sector. In the present paper we apply such transformation to a single scalar field theory as a way to drive the field into a slow roll phase. The canonical…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-04 M. Zumalacarregui , T. S. Koivisto , D. F. Mota , P. Ruiz-Lapuente

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

In this paper I shall consider field theories in a space of four-dimensions which have field variables consisting of the components of a metric tensor and scalar field. The field equations of these scalar-tensor field theories will be…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Gregory W. Horndeski

We present an impact of coupling between dark matter and a scalar field, which might be responsible for dark energy, on measurements of redshift-space distortions. We point out that, in the presence of conformal and/or disformal coupling,…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-22 Rampei Kimura , Teruaki Suyama , Masahide Yamaguchi , Daisuke Yamauchi , Shuichiro Yokoyama

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 develop a fully gauge invariant analysis of gravitational wave polarizations in metric f(R) gravity with a particular focus on the modified Starobinsky model, whose constant curvature solution provides a natural deSitter background for…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Ramesh Radhakrishnan , David McNutt , Delaram Mirfendereski , Alejandro Pinero , Eric Davis , William Julius , Gerald Cleaver

A conformal coupling of the metric in the Jordan frame to the energy-momentum tensor, screens the scalar field gravitational coupling strength $G$ in modified gravity (MOG). The scalar field acquires a mass which depends on the local matter…

General Relativity and Quantum Cosmology · Physics 2014-10-14 J. W. Moffat
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