Abstract
The equations governing dissipative relativistic hydrodynamics are formulated within the 3+1 approach. Dissipation is accounted for by applying the theory of extended causal thermodynamics (Israel-Stewart theory). This description eliminates the causality violating infinite signal speeds present in the conventional Navier-Stokes equation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R. Arnowitt, S. Deser and C.W. Misner, The dynamics of general relativity, in Gravitation: An Introduction to Current Research, ed. L. Witten. Wiley, New York, 1962.
R. Durrer and N. Straumann, Heiv. Phys. Acta., 61 (1988), 1027.
C. Eckart, Phys. Rev., 58 (1940), 919.
W.A. Hiscock and L. Lindblom, Ann. Phys., 151 (1983), 466.
W. Israel, Ann. Phys., 100 (1976), 310.
W. Israel and J.M. Stewart, Ann. Phys., 118(1979), 341.
L.D. Landau and E.M. Lifshitz, Fluid Mechanics, Pergamon Press, London. 1959.
L. Lindblom and W.A. Hiscock, ApJ, 267 (1983), 384.
R. Maartens, in Proceedings of Hanno Rund Workshop, ed. S.D. Maharaj. Natal Univ. Press (astro-ph/9609119) (1997).
I. MĂĽller, Z. Physik, 198 (1967), 329.
J. Peitz, PhD thesis, University of Heidelberg, (1998).
J. Peitz and S. Appl, MNRAS, 296 (1998), 231 (to appear).
J.M. Stewart, Proc. Roy. Soc. (London) A., 365 (1977), 43.
K.S. Thorne and D.A. Macdonald, MNRAS, 198 (1982), 339.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Basel AG
About this paper
Cite this paper
Peitz, J., Appl, S. (1999). Relativistic Dissipative Hydrodynamics in the 3+1 Formulation. In: Jeltsch, R., Fey, M. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 130. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8724-3_28
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8724-3_28
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9744-0
Online ISBN: 978-3-0348-8724-3
eBook Packages: Springer Book Archive