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We build up a new phenomenological framework associated with a minimal generalization of Einsteinian gravitation theory. When linearity, stationarity and isotropy are assumed, tests in the solar system are characterized by two potentials…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Marc-Thierry Jaekel , Serge Reynaud

In this paper we investigate the Yokoyama gaugeon formalism for perturbative quantum gravity in a general curved spacetime. Within the gaugeon formalism, we extend the configuration space by introducing vector gaugeon fields describing a…

High Energy Physics - Theory · Physics 2014-02-14 Sudhaker Upadhyay

We apply the Dirac procedure for constrained systems to the Arnowitt-Deser-Misner formalism linearized around the Friedmann-Lemaitre universe. We explain and employ some basic concepts such as Dirac observables, Dirac brackets, gauge-fixing…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Przemysław Małkiewicz

The current paper is dedicated to developing a (3+1) decomposition for the minimal gravitational Standard-Model Extension. Our setting is explicit diffeomorphism violation and we focus on the background fields known in the literature as $u$…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Carlos M. Reyes , Marco Schreck

Alternative theories of gravity may serve to overcame several shortcomings of the standard cosmological model but, in their weak field limit, General Relativity must be recovered so as to match the tight constraints at the Solar System…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Mariafelicia De Laurentis , Ivan De Martino , Ruth Lazkoz

The aim of this paper is to constrain modified gravity with redshift space distortion observations and supernovae measurements. Compared with a standard LCDM analysis, we include three additional free parameters, namely the initial…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Laura Taddei , Matteo Martinelli , Luca Amendola

We review the parameter regions allowed by measurements of $\mathcal{R}(D^{(*)})$ and by a theoretical limit on ${\cal B}(B_{c}\to\tau\nu)$ in terms of generic scalar and pseudoscalar new physics couplings, $g_s$ and $g_p$. We then use…

High Energy Physics - Phenomenology · Physics 2018-12-11 R. Martinez , C. F. Sierra , German Valencia

A model independent parametrization of an extension of the Standard Model including vector-like quarks, new heavy gauge bosons and an extra scalar, is introduced. Theoretical constraints on the model couplings and hypothetical particle…

High Energy Physics - Phenomenology · Physics 2025-09-09 Chahra Rekaik , Mohamed Sadek Zidi

Accounting for all the relativistic effects, we have developed the fully nonlinear gauge-invariant formalism for describing the cosmological observables and presented the second-order perturbative expressions associated with light…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-03 Matteo Magi , Jaiyul Yoo

We introduce N-parameter perturbation theory as a new tool for the study of non-linear relativistic phenomena. The main ingredient in this formulation is the use of the Baker-Campbell-Hausdorff formula. The associated machinery allows us to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlos F. Sopuerta , Marco Bruni , Leonardo Gualtieri

Despite stringent constraints set by astrophysical observations, there remain viable scalar-tensor theories that could be distinguished from general relativity with gravitational-wave detectors. A promising signal predicted in these…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Noah Sennett , Alessandra Buonanno

We compute the parametrized post-Newtonian parameter $\gamma$ in the case of a static point source for multiscalar-tensor gravity with completely general nonderivative couplings and potential in the Jordan frame. Similarly to the single…

General Relativity and Quantum Cosmology · Physics 2017-01-12 Manuel Hohmann , Laur Jarv , Piret Kuusk , Erik Randla , Ott Vilson

We find a choice of variables for the 3+1 formulation of general relativity which casts the evolution equations into (flux-conservative) symmetric-hyperbolic first order form for arbitrary lapse and shift, for the first time. We redefine…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Simonetta Frittelli , Oscar Reula

We examine the post-Newtonian limit of the minimal exponential measure (MEMe) model presented in [J. C. Feng, S. Carloni, Phys. Rev. D 101, 064002 (2020)] using an extension of the parameterized post-Newtonian (PPN) formalism which is also…

General Relativity and Quantum Cosmology · Physics 2021-04-30 Justin C. Feng , Shinji Mukohyama , Sante Carloni

We offer an example of the second order Kawaguchi metric function the extremal flow of which generalizes the flat space-time model of the semi-classical spinning particle to the framework of the pseudo-Riemannian space-time. The general…

Mathematical Physics · Physics 2014-07-25 Roman Matsyuk

We define a new paradigm --- postrelativity --- based on the hypothesis of a preferred hidden Newtonian frame in relativistic theories. It leads to a modification of general relativity with ether interpretation, without topological…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ilja Schmelzer

We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\phi$, with arbitrary coupling function $\omega(\phi)$ and potential…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , You Wu , Hao Wei

Using a formulation of the post-Newtonian expansion in terms of Feynman graphs, we discuss how various tests of General Relativity (GR) can be translated into measurement of the three- and four-graviton vertices. In problems involving only…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Umberto Cannella , Stefano Foffa , Michele Maggiore , Hillary Sanctuary , Riccardo Sturani

Recent developments in the modified harmonic and modified puncture gauges have opened new possibilities for performing stable numerical evolutions beyond General Relativity. In this work, we utilise techniques developed in the…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Harry L. H. Shum , Llibert Aresté Saló , Farid Thaalba , Miguel Bezares , Thomas P. Sotiriou

We present a formalism for spatial averaging in cosmology applicable to general spacetimes and coordinates, and allowing the easy incorporation of a wide variety of matter sources. We apply this formalism to a…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Iain A. Brown , Juliane Behrend , Karim A. Malik
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