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The existence of a simple spherically symmetric and static solution of the Einstein equations in the presence of a cosmological constant vanishing outside a definite value of the radial distance is investigated. A particular succession of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Alejandro Cabo , Alejandro Garcia-Chung , Alejandro Rosabal

We investigate the dynamics of spinning test particles in the vicinity of Einstein--geometric Proca (EGP) Anti-de Sitter (AdS) compact objects, which arise from metric-Palatini gravity extended by the antisymmetric part of the affine…

广义相对论与量子宇宙学 · 物理学 2026-03-31 Gulzoda Rakhimova , Beyhan Puliçe , Elham Ghorani , Farruh Atamurotov , Ahmadjon Abdujabbarov

The existence and stability of timelike and null circular orbits (COs) in the equatorial plane of general static and axisymmetric (SAS) spacetime are investigated in this work. Using the fixed point approach, we first obtained a necessary…

广义相对论与量子宇宙学 · 物理学 2018-04-11 Junji Jia , Xiankai Pang , Nan Yang

The effective potential in universal like coordinates$(U, V, \theta, \phi)$, which are smooth across the event horizon is derived and investigated the ISCO(Innermost Stable Circular Orbits) explicitly in these coordinates for extremal Kerr…

广义相对论与量子宇宙学 · 物理学 2012-12-27 Partha Pratim Pradhan

We study the stability of circular orbits in the background of a traversable wormhole (TWH) spacetime obtained as a solution of Einstein's field equations coupled conformally to a massless scalar field. The Lyapunov stability approach is…

广义相对论与量子宇宙学 · 物理学 2022-04-26 Shobhit Giri , Hemwati Nandan , Lokesh Kumar Joshi , Sunil D. Maharaj

We analyze the behaviour of geodesic motion of test particles in the spacetime of a specific class of axially symmetric static vacuum solutions to the Einstein equations, hereafter referred to as linearized multipole solution (LM). We…

广义相对论与量子宇宙学 · 物理学 2013-09-23 J. L. Hernandez-Pastora , L. Herrera , J. Ospino

We consider the motion of massive and massless particles in a five-dimensional spacetime with a compactified extra-dimensional space where a black hole is localized, i.e., a caged black hole spacetime. We show the existence of circular…

广义相对论与量子宇宙学 · 物理学 2021-04-12 Takahisa Igata , Shinya Tomizawa

In the Einstein gravity, it is well-known that strictly stationary and vacuum regular spacetime should be the Minkowski spacetime. In the Einstein-Gauss-Bonnet theory, we shall show the similar statement, that is, strictly static(no event…

广义相对论与量子宇宙学 · 物理学 2015-10-30 Tetsuya Shiromizu , Seiju Ohashi

The causal geodesics in the equatorial plane of a static extremal charged black holes in heterotic string theory are examined with regard to their geodesic stability, and compared with similar geodesics in the non-extremal situation.…

广义相对论与量子宇宙学 · 物理学 2015-08-21 Parthapratim Pradhan

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the…

广义相对论与量子宇宙学 · 物理学 2020-07-29 Bobir Toshmatov , Ozodbek Rahimov , Bobomurat Ahmedov , Daniele Malafarina

Equatorial circular geodesic orbits of neutral test particles in the exterior spacetime of a charged rotating disc of dust are analyzed in dependence of its specific charge and a relativity parameter. The charged rotating disc of dust is an…

广义相对论与量子宇宙学 · 物理学 2024-09-06 David Rumler

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

偏微分方程分析 · 数学 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases.…

高能物理 - 理论 · 物理学 2010-12-13 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

In this paper, we present results obtained from our recent studies on the location of the innermost stable circular orbit (ISCO) for binary neutron stars (BNSs) in several levels of post Newtonian (PN) approximations. We reach the following…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Masaru Shibata , Keisuke Taniguchi , Takashi Nakamura

We study gravitational waves to first and second order in amplitude in vacuum asymptotically flat spacetimes. The Einstein equations are solved to first order and these solutions are superposed to form a time-symmetric ingoing and then…

广义相对论与量子宇宙学 · 物理学 2012-07-13 J. Bicak , J. Katz , T. Ledvinka , D. Lynden-Bell

A full-relativistic approach is used to compute the radius of the innermost stable circular orbit (ISCO), the Keplerian, frame-dragging, precession and oscillation frequencies of the radial and vertical motions of neutral test particles…

太阳与恒星天体物理 · 物理学 2014-01-14 Andres F. Gutierrez-Ruiz , Cesar A. Valenzuela-Toledo , Leonardo A. Pachon

This article investigates the presence of a static spherically symmetric solution in the metric f(R) gravity. Consequently, we have examined the presence of horizons for the extreme and hyperextreme Schwarzschild-de Sitter solution.…

广义相对论与量子宇宙学 · 物理学 2024-01-30 Devansh Shukla , Kamlesh Pathak

The existence and stability of the Einstein static solution have been built in the Einstein-Cartan gravity. We show that this solution in the presence of perfect fluid with spin density satisfying the Weyssenhoff restriction is cyclically…

广义相对论与量子宇宙学 · 物理学 2014-06-11 K. Atazadeh

We investigate the dynamics of a neutral and a charged particle around a static and spherically symmetric black hole in the presence of quintessence matter and external magnetic field. We explore the conditions under which the particle…

广义相对论与量子宇宙学 · 物理学 2015-01-26 Mubasher Jamil , Saqib Hussain , Bushra Majeed

For a general spherically four--dimensional metric the notion of "circularity" of a family of equatorial geodesic trajectories is defined in geometrical terms. The main object turns out to be the angular--momentum function $J$ obeying a…

广义相对论与量子宇宙学 · 物理学 2017-06-08 Wolfgang Graf