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We address the issue of the existence of inequivalent definitions of gravitational mass in $R^{2}$-gravity. We present several definitions of gravitational mass, and discuss the formal relations between them. We then consider the concrete…

General Relativity and Quantum Cosmology · Physics 2019-11-15 Fulvio Sbisà , Pedro O. Baqui , Tays Miranda , Sergio E. Jorás , Oliver F. Piattella

Neutron stars are a remarkable marriage of Einstein's theory of general relativity with nuclear physics. Their interiors harbor extreme matter that cannot be probed in the laboratory. At such high densities and pressures, their cores may…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Nicolas Yunes , M. Coleman Miller , Kent Yagi

There are well-known problems associated with the idea of (local) gravitational energy in general relativity. We offer a new perspective on those problems by comparison with Newtonian gravitation, and particularly geometrized Newtonian…

History and Philosophy of Physics · Physics 2018-04-18 Neil Dewar , James Owen Weatherall

Using data from 289 numerical relativity simulations of merging binary neutron stars, we identify, for the first time, a robust quasi-universal relation connecting the postmerger peak gravitational-wave frequency and the value of the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Matteo Breschi , Sebastiano Bernuzzi , Daniel Godzieba , Albino Perego , David Radice

Rapidly rotating neutron stars are similar to highly flattened ellipsoids. Observed spectra of flattened stars must exhibit effects of non spherical shape and the gravitational darkening. We examined in detail the influence of both effects…

High Energy Astrophysical Phenomena · Physics 2024-05-15 Agnieszka Majczyna , Jerzy Madej , Agata Różańska , Mirosław Należyty

A tentative detection of gravitational-wave echoes in the post-merger signal of GW170817 has been recently claimed at $4.2\sigma$ significance level. It has been speculated that the signal might provide evidence for near-horizon quantum…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Paolo Pani , Valeria Ferrari

Guided by the Einstein equivalence principle that identifies the phenomenon of gravitation as a manifestation of the dynamics of spacetime in contrast to a localizable force, we review and explore its consequences on formulating a theory of…

General Relativity and Quantum Cosmology · Physics 2025-06-02 Jann Zosso

When gravitational waves propagate near massive objects, their paths curve resulting in gravitational lensing, which is expected to be a promising new instrument in astrophysics. If the time delay between different paths is comparable with…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Oleg Bulashenko , Helena Ubach

We describe a post-Minkowskii approximation of general relativity as a power series expansion in G, Newton's gravitational constant. Material sources are hidden behind boundaries, and only the vacuum Einstein equations are considered. An…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Steven Detweiler , Lee H. Brown

The direct detection of gravitational waves opens new perspectives for measuring properties of gravitationally bound compact objects. It is then important to investigate black holes and neutron stars in alternative theories of gravity,…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Javier Chagoya , Gustavo Niz , Gianmassimo Tasinato

The motivations for investigating a theory of gravitation based on a concept of "ether" are discussed-- a crucial point is the existence of an alternative interpretation of special relativity, named the Lorentz-Poincar\'e ether theory. The…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Mayeul Arminjon

In Einstein's general relativity, gravity is mediated by a massless metric field. The extension of general relativity to consistently include a mass for the graviton has profound implications for gravitation and cosmology. Salient features…

General Relativity and Quantum Cosmology · Physics 2020-07-24 Lijing Shao , Norbert Wex , Shuang-Yong Zhou

In this article, I introduce ideas and techniques to extract information about the equation of state of matter at very high densities from gravitational waves emitted before, during and after the merger of binary neutron stars. I also…

High Energy Astrophysical Phenomena · Physics 2019-09-30 Luca Baiotti

Critical phenomena in gravitational collapse opened a new mathematical vista into the theory of general relativity and may ultimately entail fundamental physical implication in observations. However, at present, the dynamics of critical…

General Relativity and Quantum Cosmology · Physics 2010-01-12 Mew-Bing Wan

In general relativity, the Mercury's orbit becomes approximately elliptical and the its perihelion has thus an additional advance. We demonstrate, meanwhile, that in comparison of those given by the Newton's theory of gravitation for the…

General Relativity and Quantum Cosmology · Physics 2020-02-03 Qian Moxian , Li Xi-Bin , Cao Yongjun

Contents: 1. Introduction 2. Spontaneous symmetry breaking 2.1 Review of classical results about Maclaurin/Jacobi ellipsoids 2.2 Spontaneous breaking of symmetry: a general phenomenom 2.3 Previous results for compressible Newtonian stars…

Astrophysics · Physics 2007-05-23 S. Bonazzola , E. Gourgoulhon

We examine the time evolution of the frequencies of the gravitational wave after the bounce within the framework of relativistic linear perturbation theory using the results of one dimensional numerical simulations of core-collapse…

High Energy Astrophysical Phenomena · Physics 2016-09-14 Hajime Sotani , Tomoya Takiwaki

A great number of macroquantum laws connecting gravity and electromagnetism if found empirically. To describe them the model of anisotropic gravitational field is proposed. This field is build as a superposition of planes and force lines…

General Physics · Physics 2007-05-23 Alexander M. Ilyanok

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

A study of gravitational properties of matter presents a fundamental interest. The possibility of investigation of quantum gravitational states of matter by the example of helium atom is shown. The capability of the existence of helium…

High Energy Astrophysical Phenomena · Physics 2015-09-23 O. D. Dalkarov , E. A. Kupriyanova