NULL SURFACES AND CONTACT GEOMETRY-Reference-Cited by-同舟云学术

NULL SURFACES AND CONTACT GEOMETRY

Published:2005-06 Issue:02 Volume:02 Page:481-496
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

FRITTELLI S.¹,KAMRAN N.²,KOZAMEH C.³,NEWMAN E. T.⁴

Affiliation:

1. Department of Physics, Duquesne University, Pittsburgh, PA 15282, USA

2. Department of Mathematics and Statistics, McGill University, Montreal, QC, H3A 2K6, Canada

3. Faculty of Mathematics, Astronomy and Physics, National University of Córdoba, 5000 Córdoba, Argentina

4. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA

Abstract

We give a self-contained and geometric account of a recent approach to the Einstein field equations of general relativity, based on families of null foliations of space–time. We then use exterior differential systems to make explicit the correspondence between conformal Lorentzian geometry in dimensions three and four and the contact geometry of special classes of differential systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891605000506

Reference20 articles.

1. Proc. Sympos. Pure Math.;Bryant R.,1991

2. Lorentzian metrics from characteristic surfaces

3. Linearized Einstein theory via null surfaces

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