Abstract
A brief review of hyperbolic formalisms in General Relativity is presented, stressing the difference between the ‘old’ ones, where hyperbolicity is achieved by fixing the four coordinate degrees of freedom, and the ‘new’ ones, where it is achieved by using instead the momentum constraints. The general way of combining the Einstein evolution equations with the constraints in the 3+1 framework is considered with a view on Numerical Relativity applications.
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Bona, C. (1999). Old and New Hyperbolic Approaches in General Relativity. In: Fey, M., Jeltsch, R. (eds) Hyperbolic Problems: Theory, Numerics, Applications. International Series of Numerical Mathematics, vol 129. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8720-5_12
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DOI: https://doi.org/10.1007/978-3-0348-8720-5_12
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9742-6
Online ISBN: 978-3-0348-8720-5
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