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We solve the Cauchy problem for the relativistic closed string in Minkowski space $M^{3+1}$, including the cases where the initial data has a knot like topology. We give the general conditions for the world sheet of a closed knotted string…

High Energy Physics - Theory · Physics 2009-10-30 Rui Dilao , Ricardo Schiappa

We present a covariant decomposition of Einstein's Field Equations which is particularly suitable for perturbations of spherically symmetric -- and general locally rotationally symmetric -- spacetimes. Based upon the utility of the 1+3…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Chris Clarkson

In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resolution. These complexes will be called \textit{periodic…

Representation Theory · Mathematics 2020-06-26 Andrés Franco , Hernán Giraldo , Pedro Rizzo

We show how the classical string dynamics in $D$-dimensional curved background can be reduced to the dynamics of a massless particle constrained on a certain surface whenever there exists at least one Killing vector for the background…

High Energy Physics - Theory · Physics 2007-05-23 P. Bozhilov

String dynamics in a curved space-time is studied on the basis of an action functional including a small parameter of rescaled tension $\epsilon=\gamma/\alpha^{\prime}$, where $\gamma$ is a metric parametrizing constant. A rescaled slow…

High Energy Physics - Theory · Physics 2009-10-31 S. N. Roshchupkin , A. A. Zheltukhin

We derive a generalized equation for the evolution of tensor perturbations in a cosmological background, taking into account higher-curvature contributions and a tree-level coupling to the dilaton in the string frame. The equation is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Gasperini

The existence and stability under linear perturbation of closed timelike curves in the spacetime associated to Schwarzschild black hole pierced by a spinning string are studied. Due to the superposition of the black hole, we find that the…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Valeria M. Rosa , Patricio S. letelier

Intrinsic and extrinsic geometric properties of string world sheets in curved space-time background are explored. In our formulation, the only dynamical degrees of freedom of the string are its immersion coordinates. Classical equation of…

High Energy Physics - Theory · Physics 2009-10-30 K. S. Viswanathan , R. Parthasarathy

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

Domain wall, wormhole, particlelike, and cosmic string general relativistic solutions supported by two interacting phantom or ordinary scalar fields with 4th-, 6th-, and 8th-order potentials are studied. Numerical calculations indicate that…

General Relativity and Quantum Cosmology · Physics 2019-01-15 Vladimir Dzhunushaliev , Vladimir Folomeev , Arislan Makhmudov , Ainur Urazalina

The quantization of circular strings in an anti-de Sitter background spacetime is performed, obtaining a discrete spectrum for the string mass. A comparison with a four-dimensional homogeneous and isotropic spacetime coupled to a conformal…

High Energy Physics - Theory · Physics 2009-10-30 Luis J. Garay , Pedro F. Gonzalez-Diaz , Guillermo A. Mena Marugan , Jose M. Raya

It is expected that when the string coupling is taken to be sufficiently small, a black hole turns into a bound state of self-gravitating fundamental strings. This state would be described by winding strings wrapping around the Euclidean…

High Energy Physics - Theory · Physics 2025-06-23 Akihiro Ishibashi , Yoshinori Matsuo , Akane Tanaka

We revisit the spectrum of closed strings in the Lorentzian signature 2D black hole in string theory. Using the description of the black hole as a gauged WZNW model, we argue that the spectrum of the closed strings contain states from the…

High Energy Physics - Theory · Physics 2018-09-20 K. P. Yogendran

We consider the propagation of perturbations along an infinitely long stationary open string in the background of a Schwarzschild black hole. The equations of motion for the perturbations in the 2 transverse physical directions are solved…

High Energy Physics - Theory · Physics 2009-10-22 A. L. Larsen

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…

High Energy Physics - Theory · Physics 2007-05-23 Norma G. Sanchez

In this note, we first show that the solutions to Cauchy problems for two versions of relativistic string and membrane equations are diffeomorphic. Then we investigate the coordinates transformation presented in Ref. [9] (see (2.20) in Ref.…

Mathematical Physics · Physics 2015-05-18 Chun-Lei He , Shou-Jun Huang

We determine the different possible space-time metrics inside an infinite rotating hollow cylinder with given energy density and longitudinal and azimuthal stresses, the metric outside the cylinder being chosen of the spinning cosmic string…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Gérard Clément , Ilhem Zouzou

Black holes, the simplest solution to Einstein's field equations, do not emit light, making their observations a major challenge for researchers. However, discovery of binary black holes (BBHs) in 2015 by LIGO has transformed the study of…

General Relativity and Quantum Cosmology · Physics 2025-12-10 Ishan Swamy , Deobrat Singh

We study string propagation in an exact, four-dimensional dyonic black hole background. The general solutions describing string configurations are obtained by solving the string equations of motion and constraints. By using the covariant…

High Energy Physics - Theory · Physics 2009-10-30 Swapna Mahapatra

We study the evolution of strings in the equatorial plane of a Kerr-Newmann black hole. Writting the equations of motion and the constraints resulting from Hamilton's principle, three classes of exact solutions are presented, for a closed…

General Relativity and Quantum Cosmology · Physics 2015-06-25 A. Kuiroukidis , D. B. Papadopoulos
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