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We discuss the PPN Solar-System constraints and the GW stochastic background considering some recently proposed $f(R)$ gravity models which satisfy both cosmological and stability conditions. Using the definition of PPN-parameters $\gamma$…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Mariafelicia De Laurentis , Salvatore Capozziello , Shin'ichi Nojiri , Sergei Odintsov

We present observational constraints on a scalar-tensor gravity theory by $\chi^2$ test for CMB anisotropy spectrum. We compare the WMAP temperature power spectrum with the harmonic attractor model, in which the scalar field has its…

Astrophysics · Physics 2009-11-10 Ryo Nagata , Takeshi Chiba , Naoshi Sugiyama

A new method of post-Newtonian approximation (PNA) for weak gravitational fields is presented together with its application to test an alternative, scalar theory of gravitation. The new method consists in defining a one-parameter family of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Mayeul Arminjon

In this work some aspects of the detection of certain general relativistic effects in the weak gravitational field of the Earth via laser-ranged data to some existing or proposed geodetic satellites are examined. The focus is on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Lorenzo Iorio

Considering the OPERA neutrino-velocity measurement from the point of view of a GPS satellite we find that the detector at Gran Sasso has a velocity component in the order of $10^{-5}c$ towards the neutrino emission location at CERN. On…

General Physics · Physics 2011-11-22 Ronald A. J. van Elburg

We prove the existence of an abundance of new Einstein metrics on odd dimensional spheres including exotic spheres, many of them depending on continuous parameters. The number of families as well as the number of parameter grows double…

Differential Geometry · Mathematics 2007-05-23 Charles P. Boyer , Krzysztof Galicki , János Kollár

Gravitational radiation is an excellent field for testing theories of gravity in strong gravitational fields. The current observations on the gravitational-wave (GW) bursts by LIGO have already placed various constraints on the alternative…

General Relativity and Quantum Cosmology · Physics 2017-06-14 Xing Zhang , Jiming Yu , Tan Liu , Wen Zhao , Anzhong Wang

We study both analytically and numerically the gravitational fields of stars in f(R) gravity theories. We derive the generalized Tolman-Oppenheimer-Volkov equations for these theories and show that in metric f(R) models the Parameterized…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kimmo Kainulainen , Johanna Piilonen , Vappu Reijonen , Daniel Sunhede

In a large class of scalar-tensor theories that are potential candidates for dark energy, a nonminimal coupling between the scalar and the photon is possible. The presence of such an interaction grants us the exciting prospect of directly…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-11 Leong Khim Wong , Anne-Christine Davis

We investigate the capability of Einstein Telescope to constrain the cosmological parameters of the non-flat $\Lambda$CDM cosmological model. Two types of mock datasets are considered depending on whether or not a short Gamma-Ray Burst is…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-23 Matteo Califano , Ivan de Martino , Daniele Vernieri , Salvatore Capozziello

We develop a modified CCZ4 formulation of the Einstein equations in $d+1$ spacetime dimensions for general relativity plus a Gauss-Bonnet term, as well as for the most general parity-invariant scalar-tensor theory of gravity up to four…

General Relativity and Quantum Cosmology · Physics 2023-09-13 Llibert Aresté Saló , Katy Clough , Pau Figueras

There is a distinct possibility that current and future cosmological data can be used to constrain Einstein's theory of gravity on the very largest scales. To be able to do this in a model-independent way, it makes sense to work with a…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-13 Tessa Baker , Pedro G. Ferreira , Constantinos Skordis , Joe Zuntz

We investigate the constraint ability of the gravitational wave (GW) as the standard siren on the cosmological parameters by using the third-generation gravitational wave detector: the Einstein Telescope. We simulate the luminosity…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-21 Rong-Gen Cai , Tao Yang

Modified $f(R)$ theories of gravity have been investigated for quite a long time in the literature as a possible explanation for the inflationary period of the universe. The correspondence to General Relativity with an extra scalar field…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Karim H. Seleim , Richa Arya , Sergio E. Jorás

Binary pulsars are excellent laboratories to test the building blocks of Einstein's theory of General Relativity. One of these is Lorentz symmetry which states that physical phenomena appear the same for all inertially moving observers. We…

General Relativity and Quantum Cosmology · Physics 2014-05-01 Kent Yagi , Diego Blas , Nicolas Yunes , Enrico Barausse

We extend the class of recently formulated scalar-nonmetricity theories by coupling a five-parameter nonmetricity scalar to a scalar field and considering a mixed kinetic term between the metric and the scalar field. The symmetric…

General Relativity and Quantum Cosmology · Physics 2018-10-23 Mihkel Rünkla , Ott Vilson

The $f(R)$ gravity can be cast into the form of a scalar-tensor theory, and scalar degree of freedom can be suppressed in high-density regions by the chameleon mechanism. In this article, for the general $f(R)$ gravity, using a…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-04 Tan Liu , Xing Zhang , Wen Zhao

Recently we discussed a multimetric gravity theory containing several copies of standard model matter each of which couples to its own metric tensor. This construction contained dark matter sectors interacting repulsively with the visible…

General Relativity and Quantum Cosmology · Physics 2010-10-15 Manuel Hohmann , Mattias N. R. Wohlfarth

The work presented in this paper aims to contribute to the problem of testing Finsler gravity theories by means of experiments and observations in the solar system. Within a class of spherically symmetric static Finsler spacetimes we…

General Relativity and Quantum Cosmology · Physics 2020-05-19 Ingo Abraham , Wolfgang Hasse , Martin Plato