On global well-posedness for the Einstein-Maxwell-Euler system in Bondi coordinates

DOI10.4171/RSMUP/131-10zbMath1297.35176WikidataQ126058248 ScholiaQ126058248MaRDI QIDQ396495

Mamadou Sango, Calvin Tadmon

Publication date: 13 August 2014

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

zbMATH Keywords

spherical symmetryBondi coordinatescharacteristic Cauchy problemEinstein-Maxwell-Euler equationsirrotational perfect fluid

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with relativity and gravitational theory (35Q75) Einstein-Maxwell equations (83C22) Symmetries, invariants, etc. in context of PDEs (35B06) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Classical solutions to PDEs (35A09)

Related Items (1)

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

Cites Work

• 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
• Global existence of solutions to the coupled Einstein and Maxwell-Higgs system in the spherical symmetry
• On the spherically symmetric Einstein–Yang–Mills–Higgs equations in Bondi coordinates

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