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Can we give the graviton a mass? Does it even make sense to speak of a massive graviton? In this essay I shall answer these questions in the affirmative. I shall outline an alternative to Einstein Gravity that satisfies the Equivalence…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Matt Visser

Equivalence principles played a central role in the development of general relativity. Furthermore, they have provided operative procedures for testing the validity of general relativity, or constraining competing theories of gravitation.…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Eolo Di Casola , Stefano Liberati , Sebastiano Sonego

The classical maximum force bound in the general relativity (GR) is defined between two black holes with touching horizons. We consider the maximum force conjecture for Kiselev solution that the black holes surrounded by quintessential…

General Relativity and Quantum Cosmology · Physics 2021-11-02 K. Atazadeh

We discuss various examples and ramifications of the conjecture that there exists a maximum force (or tension) in general relativistic systems. We contrast this situation with that in Newtonian gravity, where no maximum force exists, and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 John D. Barrow , G. W. Gibbons

We argue that a certain distribution of matter in higher dimensions can provide the correct behaviour of gravity in four dimensions. Some explicit examples illustrating the idea are considered.

High Energy Physics - Theory · Physics 2007-05-23 M. Chaichian , M. Gogberashvili , A. B. Kobakhidze

Possibility of gravitational repulsion in General Relativity is discussed and astronomical data in favor of cosmological acceleration are described. The problem of vacuum energy is emphasized and possible ways of its solution are indicated.…

Cosmology and Nongalactic Astrophysics · Physics 2012-06-19 A. D. Dolgov

Gravity is related to gravitational mass of the bodies. According to the weak form of Einstein's General Relativity equivalence principle, the gravitational and inertial masses are equivalent. However recent calculations (gr-qc/9910036)…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Fran De Aquino

In this letter we consider the Einsteinian strengths and dynamical degrees of freedom for quadratic gravity. We show that purely metric quadratic gravity theories are much stronger in Einsteinian sense than the competitive quadratic gravity…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Janusz Garecki

We present a space-velocity theory of gravitation in a 4-dimensional curved space. The solutions of the field equations yield 3 possibilities for the universe expansion but only the accelerating one is possible. Although the theory has no…

Astrophysics · Physics 2007-05-23 Moshe Carmeli

General Relativity extended through a dynamical scalar quartet is proposed as a theory of the scalar-vector-tensor gravity, generically describing the unified gravitational dark matter (DM) and dark energy (DE). The implementation in the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 Yury F. Pirogov

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times…

General Relativity and Quantum Cosmology · Physics 2009-02-10 F. S. Felber

The mere principle of relativity and Lorentz transformations for the mass current predict, in close analogy to electromagnetism, the existence of gravitomagnetic fields. With the reasonable assumption of the non existence of a…

General Physics · Physics 2013-09-05 P. Christillin , L. Barattini

Basing on the field theory of gravity and observable parameters of the expanding Universe the upper limit of $m_g \leq 4.5 . 10^{-66} g$. on the value of possible graviton mass is derived.

High Energy Physics - Theory · Physics 2016-09-06 S. S. Gershtein , A. A. Logunov , M. A. Mestvirishvili

The concept of electromagnetic field can be neatly formulated by recognizing that the simplest form of the four-force is indeed feasible. We show that Maxwell's equations almost entirely stem from the properties of spacetime, notably from…

Classical Physics · Physics 2022-05-04 B. P. Kosyakov

We consider four-dimensional massive gravity with the Fierz-Pauli mass term. The analysis of the scalar sector has revealed recently that this theory becomes strongly coupled above the energy scale \Lambda = (M_{Pl}^2 m^4)^{1/5} where m is…

High Energy Physics - Theory · Physics 2009-11-10 Aurele Aubert

We report on some old and new results on the quantum aspects of four-dimensional maximal supergravity, and its hypothetical ultraviolet finiteness.

High Energy Physics - Theory · Physics 2017-08-23 Sergio Ferrara , Alessio Marrani

Which theories have a higher dimensional origin in String/M-theory is a non trivial question and it is still far from being understood in the constrained scenario of maximal supergravities. After 35 years of progress in this direction we…

High Energy Physics - Theory · Physics 2015-12-18 Walter H. Baron

Experimental constraints on the gravitational inverse-square law at short range are presented, employing a consistent formalism across a wide range of length scales. We provide comprehensive updates from the past decade, building upon our…

General Relativity and Quantum Cosmology · Physics 2026-05-19 Jiro Murata , Takuhiro Fujiie , Sae Suzuki

There exist two consistent theories of massless, self-interacting gravitons, which differ by their local symmetries: general relativity and Weyl transverse gravity. We show that these two theories are also the only two metric descriptions…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Ana Alonso-Serrano , Luis J. Garay , Marek Liška

Recently the 1/R gravity has been proposed in order to explain the accelerated expansion of the universe. However, it was argued that the 1/R gravity conflicts with solar system tests. While this statement is true if one views the 1/R…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Cheng-Gang Shao , Rong-Gen Cai , Bin Wang , Ru-Keng Su