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In this paper we propose a notion of stability, that we call $\epsilon -N$-stability, for systems of particles interacting via Newton's gravitational potential, and orbiting a much bigger object. For these systems the usual thermodynamical…

Mathematical Physics · Physics 2022-04-11 Gabriella Pinzari , Benedetto Scoppola , Alessio Troiani

The present work deals with scalar field cosmology in the framework of a quantum gravity modified Einstein-Hilbert Lagrangian with variable $G$ and $\Lambda$. Using Renormalization group, variable $G$ behaves as a minimally coupled filed…

General Relativity and Quantum Cosmology · Physics 2019-11-22 Santu Mondal , Sourav Dutta , Subenoy Chakraborty

The explicit relationship is determined between the interior properties of a static cylindrical matter distribution and the metric of the exterior space-time according to Einstein gravity for space-time dimensionality larger or equal to…

General Relativity and Quantum Cosmology · Physics 2011-07-19 J. Colding , N. K. Nielsen , Y. Verbin

In recent years, there has been a growing interest in stellar modelling in the framework of Einstein-Gauss-Bonnet gravity. In this paper, for a relativistic star in static equilibrium, we invoke the $5$ dimensional Einstein-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Soumik Bhattacharya , Suntharalingam Thirukkanesh , Ranjan Sharma

This paper is dedicated to revisit the modifications caused by branes in the collapse of a stellar structure under the Snyder-Oppenheimer scheme. Due to the homogeneity and isotropy of the model, we choose study the case of a closed…

General Relativity and Quantum Cosmology · Physics 2016-03-24 Miguel A. Garcia-Aspeitia , C. Ortiz , J. C. Lopez-Dominguez , Sinhue Hinojosa-Ruiz , Mayra J. Reyes-Ibarra

In $f(R)$ gravity and Brans-Dicke theory with scalar potentials, we study the structure of neutron stars on a spherically symmetric and static background for two equations of state: SLy and FPS. In massless BD theory, the presence of a…

General Relativity and Quantum Cosmology · Physics 2019-10-04 Ryotaro Kase , Shinji Tsujikawa

We constrain the viable models of Horndeski gravity, written in its equivalent Generalised Galileon version, by resorting to the Witten positive energy theorem. We find that the free function $G_3(\phi, X)$ in the Lagrangian is constrained…

General Relativity and Quantum Cosmology · Physics 2022-04-12 Cláudio Gomes , Orfeu Bertolami

Triaxial neutron stars can be sources of continuous gravitational radiation detectable by ground-based interferometers. The amplitude of the emitted gravitational wave can be greatly affected by the state of the hydrodynamical fluid flow…

General Relativity and Quantum Cosmology · Physics 2024-04-24 Yufeng Luo , Antonios Tsokaros , Roland Haas , Koji Uryu

The macroscopic properties of compact stars in modified gravity theories can be significantly different from the general relativistic (GR) predictions. Within the gravitational context of scalar-tensor theories, with a scalar field $\phi$…

General Relativity and Quantum Cosmology · Physics 2023-12-05 Juan M. Z. Pretel , Sergio E. Jorás , Ribamar R. R. Reis , Sergio B. Duarte , José D. V. Arbañil

Testing the constancy of the gravitational constant G has been a longstanding fundamental question in natural science. As first suggested by Jofr\'{e}, Reisenegger and Fern\'{a}ndez [1], Dirac's hypothesis of a decreasing gravitational…

Nuclear Theory · Physics 2008-11-26 P. G. Krastev , B. A. Li

Neutron stars provide a natural laboratory for studying the properties of dense nuclear matter under extreme conditions. In this proceeding, we review our current understanding of dense isospin symmetric and asymmetric matter and neutron…

Nuclear Theory · Physics 2025-04-01 Rajesh Kumar , Veronica Dexheimer , Johannes Jahan

In this article we study the hydrostatic equilibrium configuration of neutron stars (NSs) and strange stars (SSs), whose fluid pressure is computed from the equations of state $p=\omega\rho^{5/3}$ and $p=0.28(\rho-4{\cal B})$, respectively,…

General Relativity and Quantum Cosmology · Physics 2018-08-17 P. H. R. S. Moraes , J. D. V. Arbañil , G. A. Carvalho , R. V. Lobato , E. Otoniel , R. M. Marinho , M. Malheiro

We obtain well behaved interior solutions describing hydrostatic equilibrium of anisotropic relativistic stars in scale-dependent gravity, where Newton's constant is allowed to vary with the radial coordinate throughout the star. Assuming…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Grigoris Panotopoulos , Angel Rincon , Ilidio Lopes

Recently, the mimetic gravitational theory has gained much attention in the frame of cosmology as well as in the domain of astrophysics. In this study, we show that in the frame of mimetic gravitation theory we are not able to derive an…

General Relativity and Quantum Cosmology · Physics 2023-07-19 G. G. L. Nashed

In the context of Brans-Dicke scalar tensor theory of gravitation, the cosmological Friedmann equation which relates the expansion rate $H$ of the universe to the various fractions of energy density is analyzed rigorously. It is shown that…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Arik , M. C. Calik , M. B. Sheftel

In the present manuscript, I examine an intriguing relation at the classical level between general relativity and a theory where matter couples uniquely multiplicatively to geometry in the Lagrangian density. Interestingly, the…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Olivier Minazzoli

We present a unified description of dense matter and neutron-star structure based on simple but physically motivated models. Starting from the thermodynamics of degenerate Fermi gases, we construct an equation of state for cold, catalyzed…

Nuclear Theory · Physics 2026-01-28 Elissaios Andronopoulos , Konstantinos N. Gourgouliatos

In this work a density dependent quark model is revisited, its thermodynamic consistency checked and the stability window for absolutely stable quark matter obtained. The hypotheses of both pure quark matter with equal quark chemical…

High Energy Physics - Phenomenology · Physics 2021-05-26 B. C. Backes , E. Hafemann , I. Marzolla , D. P. Menezes

The ``Newtonian'' theory of spatially unbounded, self--gravitating, pressureless continua in Lagrangian form is reconsidered. Following a review of the pertinent kinematics, we present alternative formulations of the Lagrangian evolution…

Astrophysics · Physics 2015-06-24 Juergen Ehlers , Thomas Buchert

We develop the Brans-Dicke theory of gravity in the context of varying constants of Nature. Using the unimodular formalism of General Relativity, we create a platform to provide physical relational times giving the evolution of physical…

General Relativity and Quantum Cosmology · Physics 2023-12-08 Paolo Massimo Bassani
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