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In this paper we study the Newton's method for finding a singularity of a differentiable vector field defined on a Riemannian manifold. Under the assumption of invertibility of covariant derivative of the vector field at its singularity, we…

最优化与控制 · 数学 2016-11-15 Teles A. Fernandes , Orizon P. Ferreira , Yuan J. Yun

Spherical dust collapse generally forms a shell focusing naked singularity at the symmetric center. This naked singularity is massless. Further the Newtonian gravitational potential and speed of the dust fluid elements are everywhere much…

广义相对论与量子宇宙学 · 物理学 2009-10-31 K. Nakao , H. Iguchi , T. Harada

We perform a covariant constraint analysis of massive gravity valid for its entire parameter space, demonstrating that the model generically propagates five degrees of freedom; this is also verified by a new and streamlined Hamiltonian…

高能物理 - 理论 · 物理学 2014-12-03 S. Deser , M. Sandora , A. Waldron , G. Zahariade

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally…

广义相对论与量子宇宙学 · 物理学 2009-11-07 S G Ghosh , A Beesham

We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a compact Riemann surface. We express this gravitational action in terms of finite and well-defined quantities for any value…

高能物理 - 理论 · 物理学 2017-03-08 Adel Bilal , Laetitia Leduc

We investigate the end state of the gravitational collapse of an inhomogeneous dust cloud in higher dimensional space-time. The naked singularities are shown to be developing as the final outcome of non-marginally bound collapse. The naked…

广义相对论与量子宇宙学 · 物理学 2014-11-17 Ujjal Debnath , Subenoy Chakraborty

We study singularities which can form in a spherically symmetric gravitational collapse of a general matter field obeying weak energy condition. We show that no energy can reach an outside observer from a null naked singularity. That means…

广义相对论与量子宇宙学 · 物理学 2010-02-17 Shrirang S. Deshingkar

Basis and limitations of singularity theorems for Gravity are examined. As singularity is a critical situation in course of time, study of time paths, in full generality of Equivalence principle, provides two mechanisms to prevent…

广义相对论与量子宇宙学 · 物理学 2007-05-23 K. H. Mariwalla

We employ quantum kinetic theory to investigate local quantum physics in the background of spherically symmetric and neutral black holes formed through the gravitational collapse. For this purpose in mind, we derive and study the covariant…

高能物理 - 理论 · 物理学 2017-08-22 Slava Emelyanov

We write the field equations of torsion gravity theories and the N\oe ther identity they obey directly in terms of metric and contorsion tensor components expressed with respect to natural coordinates, i.e. without using vierbien but…

广义相对论与量子宇宙学 · 物理学 2021-06-30 Philippe Spindel

I present two examples in which the curvature singularity of a radiation-dominated Universe is regularized by (a) the repulsive effects of spin interactions, and (b) the repulsive effects arising from a breaking of the local gravitational…

广义相对论与量子宇宙学 · 物理学 2015-06-25 M. Gasperini

We report about the possibility for interacting Kerr sources to exist in two different states - black holes or naked singularities - both states characterized by the same masses and angular momenta. Another surprising discovery reported by…

广义相对论与量子宇宙学 · 物理学 2019-03-27 V. S. Manko , E. Ruiz

We investigate the proof of concept and the implications of \textit{refracted gravity}, a novel modified gravity aimed to solve the discrepancy between the luminous and the dynamical mass of cosmic structures without resorting to dark…

星系天体物理 · 物理学 2016-03-17 Titos Matsakos , Antonaldo Diaferio

We present a version of relative locality based on the geometry of twistor space. This can also be thought of as a new kind of deformation of twistor theory based on the construction of a bundle of twistor spaces over momentum space.…

高能物理 - 理论 · 物理学 2013-11-04 Lee Smolin

Effective Riemann space effect of vacuum nonlinear electrodynamics is considered in the context of theory for unified gravitation and electromagnetism. The electromagnetic four-vector potential in the scope of Born-Infeld nonlinear…

广义相对论与量子宇宙学 · 物理学 2010-06-30 Alexander A. Chernitskii

In this article we construct a massive theory of gravity that is invariant under conformal transformations. The massive action of the theory depend on the metric tensor and a scalar field, which are considered as the only field variables.…

广义相对论与量子宇宙学 · 物理学 2014-12-16 F. F. Faria

Solutions of Einstein vacuum equations, for a static pseudospherically symmetric system, are presented. They describe a naked singularity and a singular solution with many resemblances to the Schwartzschild solution but with two major…

广义相对论与量子宇宙学 · 物理学 2009-09-25 Luis A. Anchordoqui , Graciela S. Birman , Jose D. Edelstein , Carlos Núñez

The wormhole solution in dRGT massive gravity is examined in this paper in the background of non-commutative geometry. In order to derive the wormhole model, along with the zero tidal force, we assume that the matter distribution is given…

广义相对论与量子宇宙学 · 物理学 2024-07-30 Piyali Bhar , Allah Ditta , Abdelghani Errehymy

Doubly special relativity has been studied for the last twenty years as a way to go beyond the special relativistic kinematics, trying to capture residual effects of a quantum gravity theory. In particular, in doubly special relativity the…

广义相对论与量子宇宙学 · 物理学 2022-07-19 J. J. Relancio

The observed flat rotation curves of galaxies require either the presence of dark matter in Newtonian gravitational potentials or a significant modification to the theory of gravity at galactic scales. Detecting relativistic Doppler shifts…

星系天体物理 · 物理学 2012-02-15 Alan Cooney , Dimitrios Psaltis , Dennis Zaritsky