Abstract
In this Chapter we present a theory of conservation laws on null hypersurfaces in general Lorentzian manifolds. These conservation laws are a generalization of the conservation laws on extremal event horizons. We also review their relevance to the characteristic gluing problem and provide necessary and sufficient conditions for their existence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
S. Aretakis, The characteristic gluing problem and conservation laws for the wave equation on null hypersurfaces. Ann. PDE 3(1) (2017), arXiv:1310.1365
S. Aretakis, On a foliation-covariant elliptic operator on null hypersurfaces. Int. Math. Res. Not. 15(15), 6433–6469 (2015)
J. Lucietti, H. Reall, Gravitational instability of an extreme Kerr black hole. Phys. Rev. D 86, 104030 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 The Author(s)
About this chapter
Cite this chapter
Aretakis, S. (2018). A Theory of Conservation Laws on Null Hypersurfaces. In: Dynamics of Extremal Black Holes. SpringerBriefs in Mathematical Physics, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-95183-6_6
Download citation
DOI: https://doi.org/10.1007/978-3-319-95183-6_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-95182-9
Online ISBN: 978-3-319-95183-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)