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The possibility of evading Lovelock's theorem at $d=4$, via a singular redefinition of the dimensionless coupling of the Gauss-Bonnet term, has been extensively discussed in the cosmological context. The term is added as a quadratic…

High Energy Physics - Theory · Physics 2022-05-10 Claudio Corianò , Mario Cretì , Stefano Lionetti , Matteo Maria Maglio , Riccardo Tommasi

Two first order strongly hyperbolic formulations of scalar-tensor theories of gravity (STT) allowing nonminimal couplings (Jordan frame) are presented along the lines of the 3+1 decomposition of spacetime. One is based on the Bona-Masso…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcelo Salgado , David Martinez-del Rio , Miguel Alcubierre , Dario Núñez

We study the behavior of a general gravitational action, including quadratic terms in the curvature, supplemented by a compact scalar field in 4+1 dimensions. The generalized Einstein equation for this system admits solutions which are…

High Energy Physics - Theory · Physics 2009-10-31 Hael Collins , Bob Holdom

In this note we study the 2PN/RM gauge invariance structure of a \textit{Brans-Dicke-like} Scalar-Tensor Theories (STT) without potential. Since the spherical isotropic metric plays an important role in the literature, its 2PN/RM STT…

General Relativity and Quantum Cosmology · Physics 2012-11-06 Olivier Minazzoli

This paper presents a relativistic version of Newtonian Fractional-Dimension Gravity (NFDG), an alternative gravitational model recently introduced and based on the theory of fractional-dimension spaces. This extended version - Relativistic…

General Relativity and Quantum Cosmology · Physics 2021-10-26 Gabriele U. Varieschi

The usual description of 2+1 dimensional Einstein gravity as a Chern-Simons (CS) theory is extended to a one parameter family of descriptions of 2+1 Einstein gravity. This is done by replacing the Poincare' gauge group symmetry by a…

High Energy Physics - Theory · Physics 2009-10-30 G. Bimonte , R. Musto , A. Stern , P. Vitale

We describe a new type of gravity-matter models where gravity couples in a non-conventional way to two distinct scalar fields providing a unified Lagrangian action principle description of: (a) the evolution of both "early" and "late"…

General Relativity and Quantum Cosmology · Physics 2017-07-25 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

We study the Post-Newtonian approach implemented to the Einstein-Hilbert action adding the cosmological constant $\Lambda$ at 1PN order. We consider very small values of $\Lambda$ to derive the Lagrangian of a two body compact system at the…

General Relativity and Quantum Cosmology · Physics 2025-04-09 Ricardo Escobedo , Claudia Moreno , Rafael Hernández-Jiménez

We study the coupling of N charged scalar particles plus the electro-magnetic field to ADM tetrad gravity and its canonical formulation in asymptotically Minkowskian space-times without super-translations. We make the canonical…

General Relativity and Quantum Cosmology · Physics 2011-04-27 David Alba , Luca Lusanna

We provide a concrete example exhibiting marked deviation from the PPN approximation in a modified theory of gravity. Specifically, we derive the exact formula for the Robertson parameter $\gamma$ in Brans-Dicke gravity for compact mass…

General Relativity and Quantum Cosmology · Physics 2024-07-19 Hoang Ky Nguyen , Bertrand Chauvineau

We study the quantum theory of 1+1 dimensional dilaton gravity, which is an interesting toy model of the black hole dynamics. The functional measures are explicitly evaluated and the physical state conditions corresponding to the…

High Energy Physics - Theory · Physics 2009-10-22 K. Hamada , A. Tsuchiya

In the present paper we take a step towards the generalization of the post-Newtonian formalism to tensor-multi-scalar theories. These are theories where we have more than one scalar field being mediators of the gravitational interaction in…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Oliver Schön , Daniela D. Doneva

In unimodular-like theories, the constants of nature are demoted from pre-given parameters to phase space variables. Their canonical duals provide physical time variables. We investigate how this interacts with an alternative approach to…

High Energy Physics - Theory · Physics 2023-12-12 Paolo M Bassani , Joao Magueijo

We consider first generation scalar-tensor theories of gravitation in a completely generic form, keeping the transformation functions of the local rescaling of the metric and the scalar field redefinition explicitly distinct from the…

General Relativity and Quantum Cosmology · Physics 2015-11-16 Laur Jarv , Piret Kuusk , Margus Saal , Ott Vilson

We formally discuss the post-Minkowskian limit of $f(R)$-gravity without adopting conformal transformations but developing all the calculations in the original Jordan frame. It is shown that such an approach gives rise, in general, together…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Capozziello , A. Stabile , A. Troisi

We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a…

High Energy Physics - Theory · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

In Kaluza-Klein model with toroidal extra dimensions, we obtain the metric coefficients in a weak-field approximation for delta-shaped matter sources. These metric coefficients are applied to calculate the formulas for frequency shift,…

General Relativity and Quantum Cosmology · Physics 2010-10-29 Maxim Eingorn , Alexander Zhuk

Einstein's theory of general relativity (GR) has been precisely tested on solar system scales, but extragalactic tests are still poorly performed. In this work, we use a newly compiled sample of galaxy-scale strong gravitational lenses to…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Jun-Jie Wei , Yun Chen , Shuo Cao , Xue-Feng Wu

We present a comprehensive formalism to derive precise expressions for the induced gravity of the braneworld, assuming the dynamics of the Dirac-Nambu-Goto type. The quantum fluctuations of the brane at short distances give rise to…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Keiichi Akama , Takashi Hattori

We study theories of gravity including, in addition to the metric, several scalar fields in the gravitational sector. The particularity of this work is that we allow for direct couplings between these gravitating scalars and the matter…

General Relativity and Quantum Cosmology · Physics 2023-08-28 Osmin Lacombe , Shinji Mukohyama