Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime

DOI10.1063/1.3204502zbMath1298.83024OpenAlexW2054888923MaRDI QIDQ3069200

De-Xing Kong, Chun-Lei He

Publication date: 24 January 2011

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3204502

zbMATH Keywords

Einstein field equationswave equationsnonlinear equationsBlack holesSchwarzschild metricspace-time configurations

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Exact solutions to problems in general relativity and gravitational theory (83C15) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (6)

Lifespan of smooth solutions for timelike extremal surface equation in de Sitter spacetime ⋮ Global simple wave solutions to a kind of two dimensional hyperbolic system of conservation laws ⋮ Long time existence for the bosonic membrane in the light cone gauge ⋮ Boundedness of the total energy of relativistic membranes evolving in a curved spacetime ⋮ Riemann problem and wave interactions for the one-dimensional relativistic string equation in Minkowski space ⋮ Harmonic coordinates in the string and membrane equations

Cites Work

• Unnamed Item
• Reformulating M-brane equations
• Hyperbolic systems of conservation laws II
• TIMELIKE MINIMAL SUBMANIFOLDS OF GENERAL CO-DIMENSION IN MINKOWSKI SPACE TIME
• Equations for the motion of relativistic torus in the Minkowski space R1+n
• A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time
• Hypersurfaces in Minkowski space with vanishing mean curvature

This page was built for publication: Spherical symmetric solutions for the motion of relativistic membranes in the Schwarzschild spacetime