Location of Repository

On the Geroch-Traschen class of metrics

By R. Steinbauer and J.A. Vickers

Abstract

We compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the sense of Colombea

Topics: QA, QC
Year: 2009
OAI identifier: oai:eprints.soton.ac.uk:66772
Provided by: e-Prints Soton

Suggested articles

Preview

Citations

  1. (1975). A doi
  2. (2002). A global theory of algebras of generalized functions doi
  3. (2008). A note on distributional semi-riemannian geometry
  4. (1999). A rigorous solution concept for geodesic and geodesic deviation equations in impulsive gravitational waves doi
  5. (1998). An embedding of Schwartz distributions in the algebra of asymptotic functions doi
  6. (2007). Definition and stability of lorentzian manifolds with distributional curvature Port. doi
  7. (1997). Distributional energy-momentum tensor of the extended Kerr geometry Class. doi
  8. (1985). Elementary Introduction to New Generalized Functions doi
  9. (2002). Foundations of a nonlinear distributional geometry
  10. (1996). Generalised functions and distributional curvature of cosmic strings Class. doi
  11. (2000). Generalized hyperbolicity in conical spacetimes Class. doi
  12. (2002). Generalized pseudo-Riemannian geometry. doi
  13. (1997). Geodesics for impulsive gravitational waves and the multiplication of distributions Class. doi
  14. (2001). Geometric Theory of Generalized Functions (Mathematics and its Applications vol 537) (Dordreacht: doi
  15. (2008). Internal sets and internal functions in colombeau theory doi
  16. (1999). Metrics with distributional curvature Class. doi
  17. (1992). Multiplication of Distributions and Applications to Partial Differential Equations (Pitman Research Notes in Mathematics vol 259) (Harlow: Longman Scientific and Technical)
  18. (1984). New Generalized Functions and Multiplication of Distributions doi
  19. (2005). Remarks on the embedding of spaces of distributions into spaces of colombeau generealized functions Novi Sad
  20. (1987). Strings and other distributional sources in general relativity Phys. doi
  21. (1954). Sur l’impossibilit´ e de la multiplication des distributions
  22. (2009). The wave equation on singular space times doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.