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Self-similar spacetimes are of importance to cosmology and to gravitational collapse problems. We show that self-similarity or the existence of a homothetic Killing vector field for spherically symmetric spacetimes implies the separability…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Sanjay M. Wagh , Keshlan S. Govinder

Highly curved spacetimes of compact astrophysical objects are known to possess light rings (null circular geodesics) with {\it discrete} radii on which massless particles can perform closed circular motions. In the present compact paper, we…

广义相对论与量子宇宙学 · 物理学 2025-07-15 Shahar Hod

We consider four-dimensional vacuum spacetimes which admit a nonvanishing spacelike Killing field. The quotient with respect to the Killing action is a three-dimensional quotient spacetime $(M,g)$. We establish several results regarding…

广义相对论与量子宇宙学 · 物理学 2017-07-10 Andrew Bulawa

It is reviewed how space-time supersymmetry is realized nonlinearly in open superstring theory without making the GSO projection. We show that the world-sheet string dualities, viz. dualities of open-closed strings and of open-open strings,…

高能物理 - 理论 · 物理学 2009-11-07 Tamiaki Yoneya

We construct a four-dimensional spacetime using a three-dimensional contact manifold equipped with a degenerate metric. The degenerate metric is set to be compatible with the contact structure. The compatibility condition is defined in this…

广义相对论与量子宇宙学 · 物理学 2026-04-21 Hiroshi Kozaki , Hideki Ishihara , Tatsuhiko Koike , Yoshiyuki Morisawa

In this paper, we continue the study of the Killing symmetries of a N-dimensional generalized Minkowski space, i.e. a space endowed with a (in general non-diagonal) metric tensor, whose coefficients do depend on a set of non-metrical…

高能物理 - 理论 · 物理学 2015-06-26 Fabio Cardone , Alessio Marrani , Roberto Mignani

These are expanded lecture notes of a mini-course whose objectives were to introduce the basic concepts, constructions and techniques of noncommutative geometry, as well as their uses as a framework for modelling quantum spacetime. Key…

高能物理 - 理论 · 物理学 2025-12-08 Richard J. Szabo

The Siklos class of solutions of Einstein's field equations is investigated by analytical methods. By studying the behaviour of free particles we reach the conclusion that the space-times represent exact gravitational waves propagating in…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. Podolsky

Schild's null (tensionless) strings are discussed in certain flat and curved backgrounds. We find closed, stationary, null strings as natural configurations existing on the horizons of spacetimes which possess such null hypersurfaces.…

高能物理 - 理论 · 物理学 2009-10-28 Sayan Kar

We consider $d$-dimensional static spacetimes in Einstein gravity with a cosmological constant in the presence of a minimally coupled massless scalar field. The spacetimes have a $(d-2)$-dimensional base manifold given by an Einstein space…

高能物理 - 理论 · 物理学 2012-06-08 Sebastian Garcia Saenz , Cristian Martinez

The properties of a stationary massless string endowed with intrinsic spin are discussed. The spacetime is Minkowskian geometrically but the topology is nontrivial due to the horizon located on the surface $r=0$, similar with Rindler's…

高能物理 - 理论 · 物理学 2009-11-11 Hristu Culetu

Cylindrically symmetric stationary spacetimes are examined in the framework of string-inpired generalized theory of gravity. In four dimensions this theory contains a dilatonic scalar field in addition to gravity. A charged perfect fluid…

广义相对论与量子宇宙学 · 物理学 2007-05-23 P. Klepac

Integrable structures arise in general relativity when the spacetime possesses a pair of commuting Killing vectors admitting 2-spaces orthogonal to the group orbits. The physical interpretation of such spacetimes depends on the norm of the…

广义相对论与量子宇宙学 · 物理学 2023-11-17 Dmitry Korotkin , Henning Samtleben

Motivated by the great interest in studying quantum and gravitational phenomena in a unified way, scalar bosons are considered in a cosmic string spacetime and in a non-inertial frame, with a generalized Coulomb-type interaction containing…

广义相对论与量子宇宙学 · 物理学 2025-12-17 M. Baradaran , L. M. Nieto , S. Zarrinkamar

The non-commutative geometry is revisited from the perspective of a generalized D p-brane. In particular, we analyze the open bosonic string world-sheet description and show that an effective non-commutative description on a D p-brane…

高能物理 - 理论 · 物理学 2009-10-31 Supriya Kar

We review and investigate some basic properties of static, cylindrically symmetric spacetimes with non-zero cosmological constant, find non-singular sheet sources of these spacetimes and discuss their characteristics, and clarify their…

广义相对论与量子宇宙学 · 物理学 2008-11-26 M. Zofka , J. Bicak

We find exact Fermi coordinates for timelike geodesic observers for a class of spacetimes that includes anti-de Sitter spacetime, de Sitter spacetime, the constant density interior Schwarzschild spacetime with positive, zero, and negative…

数学物理 · 物理学 2010-02-19 David Klein , Peter Collas

We give a Hamiltonian definition of mass for spacelike hypersurfaces in space-times with metrics which are asymptotic to the anti-de Sitter one, or to a class of generalizations thereof. We show that our definition provides a geometric…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Piotr T. Chrusciel , Gabriel Nagy

In the light of recent work which suggests that structure formation by cosmic strings in a critical matter density universe requires large biases, we discuss the effects of reducing the matter density. Using a full linear Einstein-Boltzmann…

天体物理学 · 物理学 2007-05-23 R. A. Battye

We consider strings with the Nambu action as extremal surfaces in a given space-time, thus, we ignore their back reaction. Especially, we look for strings sharing one symmetry with the underlying space-time. If this is a non-null symmetry,…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. -J. Schmidt , U. Semmelmann