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We study the existence of gradient conformal Killing vectors (CKVs) in the class of locally rotationally symmetric (LRS) spacetimes which generalizes spherically symmetric spacetimes, and investigate some implications for the evolutionary…

广义相对论与量子宇宙学 · 物理学 2024-08-30 Gareth Amery , Peter K S Dunsby , Abbas M Sherif

Marginally outer trapped surfaces are widely considered as the best quasi-local replacements for event horizons of black holes in General Relativity. However, this equivalence is far from being proved, even in stationary and static…

广义相对论与量子宇宙学 · 物理学 2015-05-28 Alberto Carrasco , Marc Mars

We investigate, in the framework of (2+1) dimensional gravity, stationary, rotationally symmetric gravitational sources of the perfect fluid type, embedded in a space of arbitrary cosmological constant. We show that the matching conditions…

广义相对论与量子宇宙学 · 物理学 2009-10-31 M. Lubo , M. Rooman , Ph. Spindel

String Quantum Gravity is motivated and introduced. Advances in the study of the classical and quantum string dynamics in curved spacetime are reported: 1-New Classes of Exact Multistring solutions in curved spacetimes. 2-Mass spectrum of…

高能物理 - 理论 · 物理学 2007-05-23 Norma G. Sanchez

We consider relativistic and non-relativistic particles and strings in spaces (or space-times) with a degenerate metric. We show that the resulting dynamics is described by a rich structure of constraints. All constraints are classified and…

高能物理 - 理论 · 物理学 2009-10-31 Luis A. Cabral , Victor O. Rivelles

We study the existence of a non-spacelike isometry, \zeta, in higher dimensional Kundt spacetimes with constant scalar curvature invariants (CSI). We present the particular forms for the null or timelike Killing vectors and a set of…

微分几何 · 数学 2012-11-30 David McNutt , Nicos Pelavas , Alan Coley

Ingoing and outgoing principal null geodesics in Kerr spacetimes are characterized as part of parametrized families of strings in complex Kerr geometry and are associated with holomorphic curves in twistor space with help of the Kerr…

高能物理 - 理论 · 物理学 2021-12-09 Christian Kunz

We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\cdot Sp(1)\ltimes \bH (1)$, $U(1)\cdot…

高能物理 - 理论 · 物理学 2011-04-12 Mehmet Akyol , George Papadopoulos

We address two problems concerning the ADM mass-minimizing initial data sets. First, we show that the equality case of the positive mass theorem embeds into a pp-wave spacetime. Second, we show that positive Bartnik mass minimizers embed…

广义相对论与量子宇宙学 · 物理学 2025-10-14 Sven Hirsch , Lan-Hsuan Huang

A solution for the Einstein gravity coupled with non linear electrodynamics is introduced in 2+1 dimensions. Especially, in the case with a non-vanishing cosmological constant, we obtain a novel black hole solution. To find fundamental…

广义相对论与量子宇宙学 · 物理学 2013-12-11 M. Kuniyasu

We study stationary and axisymmetric solutions of General Relativity, i.e. pure gravity, in four or higher dimensions. D-dimensional stationary and axisymmetric solutions are defined as having D-2 commuting Killing vector fields. We derive…

高能物理 - 理论 · 物理学 2011-05-05 Troels Harmark

In this paper, static spacetimes with a topological structure of R^2 \times N is studied, where N is an arbitrary manifold. Well known Schwarzschild spacetime and Reissner-Nordstrom spacetime are special cases. It is shown that the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Bin Zhou

We study some symmetry and integrability properties of four-dimensional Einstein-Maxwell gravity with nonvanishing cosmological constant in the presence of Killing vectors. First of all, we consider stationary spacetimes, which lead, after…

高能物理 - 理论 · 物理学 2015-10-07 Dietmar Klemm , Masato Nozawa , Marco Rabbiosi

In the recent publication (Journal of Geometry and Physics,33(2000)23-102) we demonstrated that dynamics of 2+1 gravity can be described in terms of train tracks. Train tracks were introduced by Thurston in connection with description of…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Arkady L. Kholodenko

We study the integrability of the equations of motion for the Nambu-Goto strings with a cohomogeneity-one symmetry in Minkowski spacetime. A cohomogeneity-one string has a world surface which is tangent to a Killing vector field. By virtue…

广义相对论与量子宇宙学 · 物理学 2010-04-22 Hiroshi Kozaki , Tatsuhiko Koike , Hideki Ishihara

Spacetime singularities are studied in both the $D+d$-dimensional string theory and its $D$-dimensional effective theory, obtained by the Kaluza-Klein compactification. It is found that spacetime singularities in the low dimensional…

高能物理 - 理论 · 物理学 2011-01-27 Preet Sharma , Andreas Tziolas , Anzhong Wang , Zhong Chao Wu

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are…

广义相对论与量子宇宙学 · 物理学 2009-11-10 C. Klein

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Pietro Menotti

We obtain the (super) gravity solution in arbitrary space-time dimension less than ten, that gives a low energy description of a fundamental string embedded in a non critical vacuum, product of $d$-dimensional Minkowski space-time and a…

高能物理 - 理论 · 物理学 2008-11-26 Adrian R. Lugo , Mauricio B. Sturla

String theories with two dimensional space-time target spaces are characterized by the existence of a ``ground ring'' of operators of spin $(0,0)$. By understanding this ring, one can understand the symmetries of the theory and illuminate…

高能物理 - 理论 · 物理学 2010-04-07 Edward Witten