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The second order Killing and conformal tensors are analyzed in terms of their spectral decomposition, and some properties of the eigenvalues and the eigenspaces are shown. When the tensor is of type I with only two different eigenvalues,…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Bartolomé Coll , Joan Josep Ferrando , Juan Antonio Sáez

According to Penrose effect, particles with negative energy can exist in the ergospheres of rotating black holes. We analyze geodesics for such particles and show that there are no circular and elliptic orbits in the ergosphere of a…

广义相对论与量子宇宙学 · 物理学 2022-10-11 Vitalii Vertogradov

We study the existence and stability criteria for circular geodesics of spherically symmetric tidal charged black hole~(BH). We investigate in details the equatorial causal geodesics of the tidal charged BH in comparison with spherically…

广义相对论与量子宇宙学 · 物理学 2017-09-26 Parthapratim Pradhan

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

广义相对论与量子宇宙学 · 物理学 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

In this work, we investigate geodesics and black hole shadows in the Kerr-Bertotti-Robinson spacetime. We show that the equations of motion for null geodesics are separable and admit analytical treatment, whereas timelike geodesics are…

广义相对论与量子宇宙学 · 物理学 2026-02-12 Xinyu Wang , Yehui Hou , Xi Wan , Minyong Guo , Bin Chen

Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing--Yano tensor. This tensor determines basic properties of such black holes while also underlying the…

高能物理 - 理论 · 物理学 2019-07-10 Ramiro Cayuso , Finnian Gray , David Kubiznak , Aoibheann Margalit , Renato Gomes Souza , Leander Thiele

We briefly discuss a method to construct a global, analytic, approximate spacetime for precessing, spinning binary black holes. The spacetime construction is broken into three parts: the inner zones are the spacetimes close to each black…

广义相对论与量子宇宙学 · 物理学 2016-12-14 Hiroyuki Nakano , Brennan Ireland , Manuela Campanelli , Eric J. West

We study the supersymmetry of the charged rotating toroidal black hole solutions found by Lemos and Zanchin, and show that the only configurations that are supersymmetric are: (i) the non-rotating electrically charged naked singularities…

高能物理 - 理论 · 物理学 2009-10-31 Jose' P. S. Lemos

This article investigates the geodesic structure and deflection angle of charged black holes in the presence of a nonzero vacuum expectation value background of the Kalb-Ramond field. Topics explored include null and timelike geodesics,…

广义相对论与量子宇宙学 · 物理学 2024-08-20 Ahmad al-Badawi , Sanjar Shaymatov , Izzet Sakallı

We consider the spacetime geometry of a static but otherwise generic black hole (that is, the horizon geometry and topology are not necessarily spherically symmetric). It is demonstrated, by purely geometrical techniques, that the curvature…

广义相对论与量子宇宙学 · 物理学 2009-11-10 A J M Medved , Damien Martin , Matt Visser

This is a short pedagogical introduction to the subject of Killing-Stackel and Killing-Yano tensors and their role in the integrability of various types of equations that are of physical interest in curved spacetime, the main application…

高能物理 - 理论 · 物理学 2012-09-03 Marco Cariglia , Pavel Krtous , David Kubiznak

We provide an exhaustive and illustrated classification of timelike and null geodesics in the near-horizon region of near-extremal Kerr black holes. The classification of polar motion extends to Kerr black holes of arbitrary spin. The…

广义相对论与量子宇宙学 · 物理学 2020-06-24 Geoffrey Compère , Adrien Druart

In the literature, the Newman-Janis algorithm (NJA) has been widely used to construct stationary and axisymmetric spacetimes to describe rotating black holes. In addition, it has been recently shown that the general stationary and…

广义相对论与量子宇宙学 · 物理学 2019-12-04 Che-Yu Chen , Pisin Chen

This paper studies the geodesics connecting two time-like separated boundary points in asymptotically anti-de Sitter (AdS) spacetime. We find that in spherically symmetry Schwarzschild AdS black hole, smooth space-like geodesics can connect…

高能物理 - 理论 · 物理学 2024-12-31 Jia-Hao He , Run-Qiu Yang

In the class of vacuum Petrov type D spacetimes with cosmological constant, which includes the Kerr-(A)dS black hole as a particular case, we find a set of four-dimensional operators that, when composed {\em off shell} with the Dirac,…

广义相对论与量子宇宙学 · 物理学 2017-03-28 Bernardo Araneda

The Hamilton-Jacobi equation for test particles in the Kerr geometry is separable. Using action-angle variables, we establish several relations between various physical quantities that characterize bound timelike geodesic orbits around a…

广义相对论与量子宇宙学 · 物理学 2014-04-21 Alexandre Le Tiec

The null geodesics around the charged black hole spacetimes are investigated in the mimetic gravity framework when Einstein's gravity is coupled to a nonlinear electromagnetic field. The photon paths in nonlinear electrodynamics are…

广义相对论与量子宇宙学 · 物理学 2023-04-18 M. Haditale , B. Malekolkalami

A new magnetically charged Kiselev black hole solution is used to study the null geodesics in this spacetime. We derive the equations of motion for the null geodesics and analyze their properties, including the gravitational lensing effect.…

广义相对论与量子宇宙学 · 物理学 2025-04-17 Vitalie Lungu

We study the structure and stability of spherically symmetric Brans-Dicke black-hole type solutions with an infinite horizon area and zero Hawking temperature, existing for negative values of the coupling constant $\omega$. These solutions…

广义相对论与量子宇宙学 · 物理学 2007-05-23 K. A. Bronnikov , G. Clement , C. P. Constantinidis , J. C. Fabris

Five-dimensional stringy rotating black holes are embedded into N=2 supergravity interacting with one vector multiplet. The existence of an unbroken supersymmetry of the rotating solution is proved directly by solving the Killing spinor…

高能物理 - 理论 · 物理学 2009-12-30 Renata Kallosh , Arvind Rajaraman , Wing Kai Wong