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We consider a model for gravity that is invariant under global scale transformations. It includes one extra real scalar field coupled non-minimally to the gravity fields. In this model all the dimensionful parameters like the gravitational…

General Relativity and Quantum Cosmology · Physics 2012-02-06 Pankaj Jain , Purnendu Karmakar , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

A general scalar-tensor theory of gravity carries a conserved current for a trace free minimally coupled scalar field, under the condition that the potential $V(\phi)$ of the nonminimally coupled scalar field is proportional to the square…

High Energy Physics - Theory · Physics 2009-11-11 Abhik Kumar Sanyal

In a scalar-coupled-gravity model, the quadratically divergent counter term appearing in the mass renormalization of the scalar fields must inherit corrections arising out of gravitational interactions. In this work we have explicitly…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Sumanta Chakraborty

In special-relativistic physics, spacetime is imbued with a fixed, non-dynamical metric tensor. A path to gravitational theory is to promote this tensor to a genuine dynamical field. An alternative description of special-relativistic…

General Relativity and Quantum Cosmology · Physics 2023-06-09 Tomi S Koivisto , Tom Zlosnik

A locally Lorentz-covariant theory of gravity that is equivalent to general relativity in weak gravitational field is suggested. The space-time standards in local gravitational field are modified in terms of equivalence principle to keep…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Hai-Long Zhao

We construct a quadratic curvature theory of gravity whose graviton propagator around the Minkowski background respects wordline inversion symmetry, the particle approximation to modular invariance in string theory. This symmetry…

High Energy Physics - Theory · Physics 2020-01-29 Steven Abel , Luca Buoninfante , Anupam Mazumdar

We investigate whether the gravitational thermodynamic properties of the scalar-tensor theory of gravity are affected by the conformal transformation or not. As an explicit example, we consider an electrically charged static spherical black…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Jeongwon Ho , Yongduk Kim , Young-Jai Park

We give a brief summary of the formalism of invariants in general scalar-tensor and multiscalar-tensor gravities without derivative couplings. By rescaling of the metric and reparametrization of the scalar fields, the theory can be…

General Relativity and Quantum Cosmology · Physics 2016-01-01 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

For a large class of scalar-tensor-like modified gravity whose action contains nonminimal couplings between a scalar field $\phi(x^\alpha)$ and generic curvature invariants $\mathcal{R}$ beyond the Ricci scalar $R=R^\alpha_{\;\;\alpha}$, we…

General Relativity and Quantum Cosmology · Physics 2016-07-20 David Wenjie Tian

Any metric theory of gravity whose interaction with quantum particles is described by a covariant wave equation is equivalent to a vector theory that satisfies Maxwell-type equations identically. This result does not depend on any…

General Relativity and Quantum Cosmology · Physics 2014-04-30 Giorgio Papini

We study global scale invariance along with the unimodular gravity in the vacuum. The global scale invariant gravitational action which follows the unimodular general coordinate transformations is considered without invoking any scalar…

Cosmology and Nongalactic Astrophysics · Physics 2013-11-01 Naveen K. Singh

The relativistic theory of structure formation in cosmology is based mainly on linear perturbations about a homogeneous background. But we are now driven to understand the theory of higher-order perturbations in full detail, both from…

Cosmology and Nongalactic Astrophysics · Physics 2011-08-24 Chris Clarkson

We investigate spontaneous symmetry breaking in a conformally invariant gravitational model. In particular, we use a conformally invariant scalar tensor theory as the vacuum sector of a gravitational model to examine the idea that…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Yousef Bisabr

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

Some first results are presented regarding the behavior of invariant correlations in simplicial gravity, with an action containing both a bare cosmological term and a lattice higher derivative term. The determination of invariant…

High Energy Physics - Theory · Physics 2009-10-22 Herbert W. Hamber

It is well known that in a generally covariant gravitational theory the choice of spacetime scalars as coordinates yields phase-space observables (or "invariants"). However their relation to the symmetry group of diffeomorphism…

General Relativity and Quantum Cosmology · Physics 2009-11-19 J. M. Pons , D. C. Salisbury , K. A. Sundermeyer

We introduce an extension of the Standard Model and General Relativity built upon the principle of local conformal invariance, which represents a generalization of a previous work by Bars, Steinhardt and Turok. This is naturally realized by…

High Energy Physics - Theory · Physics 2017-09-20 Marco de Cesare , John W. Moffat , Mairi Sakellariadou

The generalization of scale invariance when gravitational effects are considered is Weyl invariance, namely, invariance under (global or local) rescalings of the metric. In this work, we discuss in some details the implications of the fact…

High Energy Physics - Theory · Physics 2022-10-14 Enrique Alvarez , Jesus Anero , Raquel Santos-Garcia

We construct the gravitational energy-momentum pseudo-tensor of up to fourth-order conformally invariant theories of gravity. Then we linearize the pseudo-tensor and use its average over a macroscopic region to find the energy and momentum…

General Relativity and Quantum Cosmology · Physics 2025-05-29 F. F. Faria

Scalar-tensor gravity is the simplest and best understood modification of general relativity, consisting of a real scalar field coupled directly to the Ricci scalar curvature. Models of this type have self-accelerating solutions. In an…

Astrophysics · Physics 2009-09-17 Gabriela Barenboim , Joseph Lykken