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Gravitation, according to General Relativity, is an attribute of space-time's geometry and hence not a force in the Newtonian sense. This is a consequence of Einstein's equivalence principle, which so far passed all experimental tests with…

Popular Physics · Physics 2013-09-10 Domenico Giulini

The geodesic equations for the general case of diagonal metrics of static, spherically symmetric fields are calculated. The elimination of the proper time variable gives the motion equations for test particles with respect to coordinate…

General Physics · Physics 2015-03-09 Franz-Günter Winkler

We conduct a preliminary investigation into the phenomenological implications of Einsteinian cubic gravity (ECG), a 4-dimensional theory of gravity cubic in curvature of interest for its unique formulation and properties. We find an…

General Relativity and Quantum Cosmology · Physics 2018-04-13 Robie A. Hennigar , Mohammad Bagher Jahani Poshteh , Robert B. Mann

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

The precision of optical atomic clocks is approaching a regime where they resolve gravitational time dilation on smaller scales than their own extensions. Hence, an accurate description of quantum clocks has to take their spatial extension…

General Relativity and Quantum Cosmology · Physics 2022-05-13 Tupac Bravo , Dennis Rätzel , Ivette Fuentes

In contrast to electrodynamics, Einstein's gravitation equations are not invariant with respect to a wide class of the mapping of field variables which leave equations of motion of test particles in a given coordinate system invariant. It…

General Relativity and Quantum Cosmology · Physics 2008-05-20 Leonid Verozub

In Einstein's general relativity (GR), gravity is described by a massless spin-2 metric field, and the extension of GR to include a mass term for the graviton has profound implication for gravitation and cosmology. Besides the gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Lijing Shao

Recent research has established that nonsymmetric gravitation theories like Moffat's NGT predict that a gravitational field singles out an orthogonal pair of polarization states of light that propagate with different phase velocities. We…

General Relativity and Quantum Cosmology · Physics 2010-11-30 Mark P. Haugan , Thierry F. Kauffmann

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of static spherically symmetric spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exists a…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Plamen P. Fiziev

Based on the Generalized Principle of Inertia, which states that: \emph{An inanimate object moves freely, that is, with zero acceleration, in its own spacetime, whose geometry is determined by all of the forces affecting it,} we geometrize…

General Physics · Physics 2020-01-08 Yaakov Friedman , Tzvi Scarr

We investigate leading order deviations from general relativity that violate the Einstein equivalence principle in the gravitational standard model extension. We show that redshift experiments based on matter waves and clock comparisons are…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Michael A. Hohensee , Steven Chu , Achim Peters , Holger Mueller

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

Motivated by the similarity of the mathematical structure of Einstein's General Relativity in its weak field limit and of Maxwell's theory of electrodynamics it is shown that there are gravitational analogues of the Josephson effect and the…

General Relativity and Quantum Cosmology · Physics 2024-02-07 Claus Lammerzahl , Sebastian Ulbricht

We summarize a recent work on the title subject, skipping the detailed calculations but introducing the basic points with enough detail. The theory considered is formulated in a preferred reference frame in a four-dimensional spacetime…

General Physics · Physics 2017-10-18 Mayeul Arminjon

The Einstein equations for static gravitational field depend on energy density and pressure. So one may expect that solutions should depend on two parameters: mass and its analogue originated from pressure. Yet the Schwarzschild solution…

General Relativity and Quantum Cosmology · Physics 2009-12-31 A. I. Nikishov

In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from…

General Relativity and Quantum Cosmology · Physics 2013-04-29 I. C. Jardim , R. R. Landim

We show that Einstein gravitation theory may be understood as an effective theory of a quantum theory for the space-time implemented as a Bosonic string path integral and interacting with the fluctuating Einstein space time metric field .

General Physics · Physics 2020-03-03 Luiz C L Botelho

It is shown in this article that if the Einstein Equivalence Principle is valid on a particular metric theory of gravitation in a spherically symmetric space-time, then the time metric component is not equal to the negative of the inverse…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Sergio Mendoza

Einstein's general theory of relativity is the standard theory of gravity, especially where the needs of astronomy, astrophysics, cosmology and fundamental physics are concerned. As such, this theory is used for many practical purposes…

General Relativity and Quantum Cosmology · Physics 2013-01-15 Slava G. Turyshev

We argue that the Einstein gravity theory can be reformulated in almost Kahler (nonsymmetric) variables with effective symplectic form and compatible linear connection uniquely defined by a (pseudo) Riemannian metric. A class of…

General Relativity and Quantum Cosmology · Physics 2009-07-24 Sergiu I. Vacaru