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A recent generalisation of the Raychaudhuri equations for timelike geodesic congruences to families of $D$ dimensional extremal, timelike, Nambu--Goto surfaces embedded in an $N$ dimensional Lorentzian background is reviewed. Specialising…

高能物理 - 理论 · 物理学 2007-05-23 Sayan Kar

We show that the Nambu-Goto string, and its higher dimensional generalizations, can be quantized, in the sense of an effective theory, in any dimension of the target space. The crucial point is to consider expansions around classical string…

数学物理 · 物理学 2014-04-16 Dorothea Bahns , Katarzyna Rejzner , Jochen Zahn

The generalised Raychaudhuri equations derived by Capovilla and Guven are exclusively for extremal, timelike Nambu--Goto membranes. In this article, we construct the corresponding equations for string world--sheets in the presence of a…

高能物理 - 理论 · 物理学 2009-10-30 Sayan Kar

We investigate stationary rotating closed Nambu-Goto strings in five-dimensional flat spacetime. The stationary string is defined as a worldsheet that is tangent to a timelike Killing vector. Nambu-Goto equation of motion for the stationary…

高能物理 - 理论 · 物理学 2013-05-30 Takahisa Igata , Hideki Ishihara , Keisuke Nishiwaki

In this paper we investigate the fate of the universe with an anisotropic background sourced by anisotropic matter. We see the behaviour of the Raychaudhuri Equation and investigate wheather a congrurence of time like geodesics focus to a…

广义相对论与量子宇宙学 · 物理学 2015-09-23 Manabendra Sharma

Specific examples of the generalized Raychaudhuri Equations for the evolution of deformations along families of $D$ dimensional surfaces embedded in a background $N$ dimensional spacetime are discussed. These include string worldsheets…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Sayan Kar

We study the inclusion of point and string matter in the deSitter gauge theory, or MacDowell-Mansouri formulation of four dimensional gravity. We proceed by locally breaking the gauge symmetries of general relativity along worldlines and…

广义相对论与量子宇宙学 · 物理学 2009-05-29 Winston J. Fairbairn

In this letter, the open string is quantized in a time dependent black hole background. The geometry is defined through an adiabatic approximation of the Vaydia metric. The worldsheet two-point function is derived and it is shown to have…

高能物理 - 理论 · 物理学 2022-03-14 Dáfni F. Z. Marchioro , Daniel L. Nedel

We classify almost all classical string configurations, considered in the framework of the semi-classical limit of the string/gauge theory duality. Then, we describe a procedure for obtaining the conserved quantities and the exact classical…

高能物理 - 理论 · 物理学 2007-05-23 D. Aleksandrova , P. Bozhilov

These lecture notes provide a short review of the status of time dependent backgrounds in String theory, and in particular those that contain space-like singularities. Despite considerable efforts, we do not have yet a full and compelling…

高能物理 - 理论 · 物理学 2008-11-26 Micha Berkooz , Dori Reichmann

We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation.…

高能物理 - 理论 · 物理学 2010-10-27 Sayan Kar

Recent progress on the complete set of solutions of two dimensional classical string theory in any curved spacetime is reviewed. When the curvature is smooth the string solutions are deformed folded string solutions as compared to flat…

高能物理 - 理论 · 物理学 2015-06-26 Itzhak Bars

We study the self-similar motion of a string in a self-similar spacetime by introducing the concept of a self-similar string, which is defined as the world sheet to which a homothetic vector field is tangent. It is shown that in Nambu-Goto…

广义相对论与量子宇宙学 · 物理学 2016-09-15 Takahisa Igata , Tsuyoshi Houri , Tomohiro Harada

We investigate the possibility that stringy nonperturbative effects appear as holes in the world-sheet. We focus on the case of Dirichlet string theory, which we argue should be formulated differently than in previous work, and we find that…

高能物理 - 理论 · 物理学 2009-10-09 Joseph Polchinski

We are studying quantum corrections in the earlier proposed string theory based on world-sheet action which measures the linear sizes of the surfaces. At classical level the string tension is equal to zero and as it was demonstrated in the…

高能物理 - 理论 · 物理学 2009-11-10 A. R. Fazio , G. K. Savvidy

Time-dependent solutions of supergravity and string theory are studied. The examples are obtained from de Sitter deformation of gauge/gravity dualities, analytical continuation of static solutions, and ``exactly solvable'' worldsheet…

高能物理 - 理论 · 物理学 2009-11-07 Alex Buchel , Peter Langfelder , Johannes Walcher

String theory is arguably the best candidate for a theory of quantum gravity and unified interactions. Reconciling Einstein's theory of General Relativity with Quantum Mechanics. The theory however is best understood on Minkowski and…

高能物理 - 理论 · 物理学 2013-10-14 Jonathan Maltz

It is shown, by explicit calculation, that the third-order terms in inverse string length in the spectrum of the effective string theories of Polchinski and Strominger are also the same as in Nambu-Goto theory, in addition to the universal…

高能物理 - 理论 · 物理学 2007-05-23 N. D. Hari Dass , Peter Matlock

We study the classical dynamics of the Nambu-Goto strings with a null symmetry in curved spacetimes admitting a null Killing vector field. The Nambu-Goto equation is reduced to first order ordinary differential equations and is always…

广义相对论与量子宇宙学 · 物理学 2023-10-02 Hiroshi Kozaki , Tatsuhiko Koike , Yoshiyuki Morisawa , Hideki Ishihara

Two dimensional classical string theory is solved in any curved spacetime. The complete spacetime required to describe the classical string motions turns out to be larger than the global space required by complete particle geodesics. The…

高能物理 - 理论 · 物理学 2008-02-03 Itzhak Bars
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