On the characteristic initial value problem for the spherically symmetric Einstein-Euler equations

DOI10.1007/s13370-018-0564-6zbMath1413.35008OpenAlexW2792006951MaRDI QIDQ1617708

Calvin Tadmon

Publication date: 8 November 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0564-6

zbMATH Keywords

global solutionEinstein equationsspherical symmetryBondi coordinatesirrotational perfect fluidcharacteristic initial value problem

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Equations of motion in general relativity and gravitational theory (83C10) Symmetries, invariants, etc. in context of PDEs (35B06) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Cites Work

• Unnamed Item
• On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates
• Global solutions, and their decay properties, of the spherically symmetric \(\mathfrak {su}(2)\)-Einstein-Yang-Mills-Higgs equations
• The Goursat problem for the Einstein-Yang-Mills-Higgs system in weighted Sobolev spaces
• The formation of black holes in general relativity.
• Local existence of classical solutions for the Einstein-Euler system using weighted Sobolev spaces of fractional order
• The problem of a self-gravitating scalar field
• Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry
• Self-gravitating relativistic fluids: A two-phase model
• Plane symmetric self-gravitating fluids with pressure equal to energy density
• The characteristic initial value problem for plane symmetric spacetimes with weak regularity
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• The initial value problem for a class of general relativistic fluid bodies
• The Characteristic Initial Value Problem for the Einstein-Yang-Mills-Higgs System in Weighted Sobolev Spaces
• On the spherically symmetric Einstein–Yang–Mills–Higgs equations in Bondi coordinates

This page was built for publication: On the characteristic initial value problem for the spherically symmetric Einstein-Euler equations