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The standard $\Lambda$-CDM predicts a growth of structures which tends to be higher than the values of redshift space distortion (RSD) measurements, if the cosmological parameters are fixed by the CMB data. In this paper we point out that…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-08 Antonio De Felice , Shinji Mukohyama

In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-17 Akshay Rana , Deepak Jain , Shobhit Mahajan , Amitabha Mukherjee

We numerically calculate equilibrium configurations of uniformly rotating and charged neutron stars, in the case of insulating material and neglecting the electromagnetic forces acting on the equilibrium of the fluid. This allows us to…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jerome Novak , Emmanuel Marcq

We derive a modified Buchdahl inequality for scalar-tensor theories of gravity. In general relativity, Buchdahl has shown that the maximum value of the mass-to-size ratio, $2M/R$, is 8/9 for static and spherically symmetric stars under some…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Tooru Tsuchida , Go Kawamura , Kazuya Watanabe

The last decade has seen great advancements in the field of modified gravity, motivated by the dark energy problem, or by the search for a fundamental quantum gravity theory. With a phenomenologically-driven approach, we consider dRGT…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Katarina Martinovic , Mairi Sakellariadou

We introduce a rigorous and general framework to study systematically self-gravitating elastic materials within general relativity, and apply it to investigate the existence and viability, including radial stability, of spherically…

General Relativity and Quantum Cosmology · Physics 2022-06-07 Artur Alho , José Natário , Paolo Pani , Guilherme Raposo

We develop a theoretical framework to study slowly rotating compact stars in a rather general class of alternative theories of gravity, with the ultimate goal of investigating constraints on alternative theories from electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Paolo Pani , Emanuele Berti , Vitor Cardoso , Jocelyn Read

We study the properties of compact objects in a particular 4D Horndeski theory originating from higher dimensional Einstein-Gauss-Bonnet gravity. Remarkably, an exact vacuum solution is known. This compact object differs from general…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Christos Charmousis , Antoine Lehébel , Evangelos Smyrniotis , Nikolaos Stergioulas

In this Letter we investigate uniformly rotating, homogeneous and axisymmetric relativistic fluid bodies with a toroidal shape. The corresponding field equations are solved by means of a multi-domain spectral method, which yields highly…

General Relativity and Quantum Cosmology · Physics 2010-12-23 M. Ansorg , A. Kleinwächter , R. Meinel

We obtain the fully covariant linearized field equations for the metric perturbation in the de Rham-Gabadadze-Tolley (dRGT) ghost free massive gravities. For a subset of these theories, we show that the non dynamical metric that appears in…

High Energy Physics - Theory · Physics 2015-05-18 Laura Bernard , Cedric Deffayet , Mikael von Strauss

We show analytically that there exist compact stellar objects akin to neutron stars whose radius is smaller than the Schwarzschild radius defined by Arnowitt-Deser-Misner (ADM) mass. The radius of the compact object is defined by the radius…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Shin'ichi Nojiri , Sergei D. Odintsov , Armen Sedrakian

Self-gravitating horizonless ultra-compact objects that possess light rings have attracted the attention of physicists and mathematicians in recent years. In the present compact paper we raise the following physically interesting question:…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Shahar Hod

We investigate effects of massive graviton on the rotation curves of the Milky Way, spiral galaxies and Low Surface Brightness~(LSB) galaxies. Using a simple de Rham, Gabadadze, and Tolley (dRGT) massive gravity model, we find static…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Sirachak Panpanich , Piyabut Burikham

In this paper, we explore the solutions of rotating black holes within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We provide a detailed, step-by-step analytical derivation of these solutions. Our solutions are…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Ping Li , Jiang-he Yang

Bigravity is a natural arena where a non-linear theory of massive gravity can be formulated. If the interaction between the metrics $f$ and $g$ is non-derivative, spherically symmetric exact solutions can be found. At large distances from…

High Energy Physics - Theory · Physics 2008-11-26 D. Blas , C. Deffayet , J. Garriga

One of the stiffest equations of state for matter in a compact star is constant energy density and this generates the interior Schwarzschild radius to mass relation and the Misner maximum mass for relativistic compact stars. If dark matter…

Solar and Stellar Astrophysics · Physics 2016-03-25 José P. S. Lemos , Francisco J. Lopes , Gonçalo Quinta , Vilson T. Zanchin

The measurement of the size of gravitationally bounded structures is an important test of gravity theories. For a given radius different theories can in fact predict a different gravitational stability mass (GSM) necessary to ensure the…

General Relativity and Quantum Cosmology · Physics 2020-06-18 Camilo Santa , Antonio Enea Romano

We have obtained a criterion for spherically symmetric and static structures under hydrostatic equilibrium in general relativity (GR), which states that for a given value of $\sigma \equiv (P_0/E_0) \equiv $ the ratio of central pressure to…

Astrophysics · Physics 2008-10-06 P. S. Negi , M. C. Durgapal

We study the exact spherically symmetric solutions in a class of Lorentz-breaking massive gravity theories, using the effective-theory approach where the graviton mass is generated by the interaction with a suitable set of Stuckelberg…

High Energy Physics - Theory · Physics 2011-05-10 Denis Comelli , Fabrizio Nesti , Luigi Pilo

In the present paper we investigate the structure of relativistic stars in 4D Einstein-Gauss-Bonnet gravity. The mass-radius relations are obtained for realistic hadronic and for strange quark star equations of state, and for a wide range…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Daniela D. Doneva , Stoytcho S. Yazadjiev