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We show that a slowly varying Newton's constant, consistent with existing bounds, can potentially explain a host of observations pertaining to gravitational effects or phenomena across distances spanning from planetary to the cosmological,…

General Relativity and Quantum Cosmology · Physics 2024-11-12 Saurya Das , Sourav Sur

The main purpose of this paper is to seek a mechanical interpretation of gravitational phenomena. We suppose that the universe may be filled with a kind of fluid which may be called the $\Omega (0)$ substratum. Thus, the inverse-square law…

General Physics · Physics 2017-12-29 Xiao-Song Wang

An exact analytical expression for the bending angle of light due to a non-rotating massive object, considering the actual distances from source and observer to the gravitational mass, is derived. Our novel formula generalizes Darwin…

Instrumentation and Methods for Astrophysics · Physics 2024-10-08 Oscar del Barco

We derive exact, modified geodesic equations for a system of non-spinning, self-gravitating interacting bodies in a class of alternative theories of gravity to general relativity. We use a prescription proposed by Eardley for incorporating…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Fatemeh Taherasghari , Clifford M. Will

The gravitaional force produced by a point particle, like the sun, in the background of the static Einstein universe is studied. Both the approximate solution in the weak field limit and exact solution are obtained. The main properties of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Masakatsu Kenmoku , Kaori Otsuki , Rieko Sakai

A definition of gravitational energy is proposed for any theory described by a diffeomorphism-invariant Lagrangian. The mathematical structure is a Noether- current construction of Wald involving the boundary term in the action, but here it…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sean A. Hayward

A generalization of Newtonian gravitation theory is obtained by a suitable limiting procedure from the ADM action of general relativity coupled to a mass-point. Three particular theories are discussed and it is found that two of them are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 R. De Pietri , L. Lusanna , M. Pauri

Viewing gravitational energy-momentum $p_G^\mu$ as equal by observation, but different in essence from inertial energy-momentum $p_I^\mu$ naturally leads to the gauge theory of volume-preserving diffeormorphisms of an inner Minkowski space…

Mathematical Physics · Physics 2011-03-03 C. Wiesendanger

We consider compact objects in a classical and non-relativistic generalisation of Newtonian gravity, dubbed bootstrapped Newtonian theory, which includes higher-order derivative interaction terms of the kind generically present in the…

General Relativity and Quantum Cosmology · Physics 2022-07-14 Roberto Casadio , Iberê Kuntz , Octavian Micu

In Newtonian physics or in general relativity, energy dissipation causes observers moving along circular orbits to slowly spiral towards the source of the gravitational field. We show that the loss of energy has the same effect in any…

General Relativity and Quantum Cosmology · Physics 2022-03-23 Antoine Lehébel , Vitor Cardoso

General Relativity is the modern theory of gravitation. It has replaced the newtonian theory in the description of the gravitational phenomena. In spite of the remarkable success of the General Relativity Theory, the newtonian gravitational…

General Relativity and Quantum Cosmology · Physics 2015-01-09 J. C. Fabris , H. Velten

We apply an effective field theory method for the gravitational interaction of compact stars, developed within the context of general relativity, to Newtonian gravity. In this effective theory a compact object is represented by a point…

General Relativity and Quantum Cosmology · Physics 2013-10-30 Sayan Chakrabarti , Térence Delsate , Jan Steinhoff

The effective action for quantum gravity coupled to matter contains corrections arising from the functional measure. We analyse the effect of such corrections for anisotropic self-gravitating compact objects described by means of the…

General Relativity and Quantum Cosmology · Physics 2025-07-29 R. Casadio , I. Kuntz , R. da Rocha

We obtain an expression for the active gravitational mass (Tolman) of a source of the $\gamma$ metric, just after its departure from hydrostatic equilibrium, on a time scale of the order of (or smaller than) the hydrostatic time scale. It…

General Relativity and Quantum Cosmology · Physics 2017-08-23 L. Herrera , A. Di Prisco , E. Fuenmayor

We evaluate the {\em three-dimensional}, {\em non-axis-symmetric}, {\em time-dependent} Newton potential generated by a pair of mutually orbiting objects such as pairs of ordinary or neutron stars and, in some approximations, black holes,…

General Relativity and Quantum Cosmology · Physics 2023-05-09 Renato Spigler

Recently a notion of gravitational aether is advocated to solve the cosmological constant problem.Through the modification of the source of gravity one finds that the effective Newton's constant is source dependent so as to provide a simple…

General Relativity and Quantum Cosmology · Physics 2009-11-09 Xiao-Mei Kuang , Yi Ling

Gravitationally bound neutrons have become an important tool in the experimental searches for new physics, such as modifications to Newton's force or candidates for dark matter particles. Here we include the relativistic effects of…

Quantum Physics · Physics 2022-11-23 Germain Tobar , Simon Haine , Fabio Costa , Magdalena Zych

The Einstein gravitational field of a material point at rest is derived anew - by a suitable limit process - from the field of a sphere of a homogeneous and incompressible fluid. This result supports clearly the thesis according to which…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. Loinger

It is well-known that energy-momentum is the source of gravitational field. For a long time, it is generally believed that only stars with huge masses can generate strong gravitational field. Based on the unified theory of gravitational…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ning Wu

The observed matter in the universe accounts for just 5 percent of the observed gravity. A possible explanation is that Newton's and Einstein's theories of gravity fail where gravity is either weak or enhanced. The modified theory of…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Pedro G. Ferreira , Glenn Starkmann
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