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Speck, Jared

Well-posedness for the Euler-Nordström system with cosmological constant. (English) Zbl 1194.35245

J. Hyperbolic Differ. Equ. 6, No. 2, 313-358 (2009).
The author investigates the motion of a relativistic perfect fluid with self-interaction mediated by Nordström’s scalar theory of gravity. The evolution of the fluid is determined by a quasilinear hyperbolic system of PDEs, and a cosmological constant is introduced in order to ensure the existence of nonzero constant solutions. In addition, the author proves that the Euler-Nordström system with cosmological constant is well-posed in a suitable Sobolev space.
Reviewer: Ömer Kavaklioglu (Izmir)

Cited in 13 Documents

MSC:

35L40 First-order hyperbolic systems
35Q75 PDEs in connection with relativity and gravitational theory
35Q35 PDEs in connection with fluid mechanics
35L60 First-order nonlinear hyperbolic equations

Keywords:

Nordström’s scalar theory of gravity; relativistic perfect fluid; Sobolev spaces; quasilinear hyperbolic system of PDEs
PDFBibTeX XMLCite
\textit{J. Speck}, J. Hyperbolic Differ. Equ. 6, No. 2, 313--358 (2009; Zbl 1194.35245)
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