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This paper aims to show the possibility of the existence of super-massive compact objects with radii less than the Schwarzschild one, which is one of the principal consequences of the author's geodesic-invariant gravitation equations (Ann.…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Leonid Verozub

The accelerating behavior of cosmic fluid opposes to the gravitational attraction, at present epoch, whereas standard gravity is dominant at small scales. As a consequence, there exists a \emph{point} where the effects are counterbalanced,…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Salvatore Capozziello , Konstantinos F. Dialektopoulos , Orlando Luongo

We propose a new theory of massive gravity with only two propagating degrees of freedom. After defining the theory in the unitary gauge in the vielbein language, we shall perform a Hamiltonian analysis to count the number of physical…

High Energy Physics - Theory · Physics 2015-12-17 Antonio De Felice , Shinji Mukohyama

In this work we examine the effective four-dimensional world that emanates from a general class of static spherical Ricci-flat solutions in Kaluza-Klein gravity in $D$-dimensions. By means of dimensional reduction we obtain a family of…

General Relativity and Quantum Cosmology · Physics 2010-03-17 J. Ponce de Leon

We study extreme-mass-ratio systems in theories admitting the Schwarzschild solution and propagating a massive graviton. We show that, in addition to small corrections to the quadrupolar and higher-order modes, a dipolar mode is excited in…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Vitor Cardoso , Francisco Duque , Andrea Maselli , David Pereñiguez

Static spherically-symmetric matter distributions whose energy-momentum tensor is characterized by a non-negative trace are studied analytically within the framework of general relativity. We prove that such field configurations are…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Plamen Fiziev

In this paper, we delve into the gravitational lensing and photon trajectories in the vicinity of non-asymptotically flat black hole spacetimes within the framework of dRGT massive gravity, incorporating a non-zero graviton mass. We assume…

General Relativity and Quantum Cosmology · Physics 2026-02-16 Haximjan Abdusattar , Yu-Xuan Han , Abdujappar Rusul , Shi-Bei Kong

The stability properties of rotating relativistic stars against prompt gravitational collapse to a black hole are rather well understood for uniformly rotating models. This is not the case for differentially rotating neutron stars, which…

General Relativity and Quantum Cosmology · Physics 2018-01-12 Lukas R. Weih , Elias R. Most , Luciano Rezzolla

The realistic models of neutron stars are considered for simple $R+\alpha R^2$ gravity and equivalent Brance-Dicke theory with dilaton field in Einsein frame. For negative values of $\alpha$ we have no acceptable results from astrophysical…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Artyom V. Astashenok , Alexey S. Baigashov , Sergey A. Lapin

The current model explores spherically symmetric anisotropic compact stars within the Rastall theory of gravity. By employing the Krori and Barua metric ansatz (K.D. Krori and J. Barua, J. Phys. A: Math. Gen. 8 (1975) 508), we derive a set…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Sourav Biswas , Debadri Bhattacharjee , Pradip Kumar Chattopadhyay

We investigate gravitational lensing and particle motions around non-asymptotically flat black hole spacetime in non-linear, ghost-free massive gravity theory, called de Rham-Gabadadze-Tolley (dRGT) massive gravity. Deflection angle…

General Relativity and Quantum Cosmology · Physics 2019-08-23 Sirachak Panpanich , Supakchai Ponglertsakul , Lunchakorn Tannukij

Advancements in theoretical simulations of mass gap objects, particularly those resulting from neutron star mergers and massive pulsars, play a crucial role in addressing the challenges of measuring neutron star radii. In the light of this,…

High Energy Astrophysical Phenomena · Physics 2025-01-03 S. K. Maurya , A. Errehymy , Ksh. Newton Singh , G. Mustafa , Saibal Ray

We show that the isentropic subclass of Buchdahl's exact solution for a gaseous relativistic star is stable and gravitationally bound for all values of the compactness ratio $u [\equiv (M/R)$, where $M$ is the total mass and $R$ is the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 P. S. Negi

In gravitational Higgs mechanism graviton components acquire mass via spontaneous diffeomorphism breaking by scalar vacuum expectation values. We point out that in the massless limit the resulting theory is not Einstein-Hilbert gravity…

High Energy Physics - Theory · Physics 2008-11-26 Zurab Kakushadze

The gravitational mass-shift effect is investigated in the framework of the standard model with the energy cutoff regularization both for stationary and non-stationary backgrounds at the one-loop level. The problem concerning singularity of…

General Relativity and Quantum Cosmology · Physics 2012-02-21 P. O. Kazinski

We propose an approximate description of basic parameters (radius, mass and oblateness) of general relativistic compact rotating objects in terms of the parameters of the static configuration and of the angular velocity only. The…

Astrophysics · Physics 2007-05-23 K. S. Cheng , T. Harko

We review recent progress in massive gravity. We start by showing how different theories of massive gravity emerge from a higher-dimensional theory of general relativity, leading to the Dvali-Gabadadze-Porrati model, cascading gravity and…

High Energy Physics - Theory · Physics 2014-08-27 Claudia de Rham

We study trajectories of test particles around a luminous, static, spherically symmetric neutron star, under the combined influence of gravity and radiation. In general relativity, for Schwarzschild spacetime, an equilibrium sphere (the…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Ronaldo S. S. Vieira , Maciek Wielgus

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