Regularity of curve integrable spacetimes
| Autor: | Yafet Sanchez Sanchez |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) Geodesic Integrable system 83C75 Scalar (mathematics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Wave equation General Relativity and Quantum Cosmology Gravitation Singularity Initial value problem Gravitational singularity Mathematical physics |
| Zdroj: | General Relativity and Gravitation. 47 |
| ISSN: | 1572-9532 0001-7701 |
| DOI: | 10.1007/s10714-015-1922-4 |
| Popis: | The idea of defining a gravitational singularity as an obstruction to the dynamical evolution of a test field (described by a PDE) rather than the dynamical evolution of a particle (described by a geodesics) is explored. In particular, the concept of field regularity is introduced which serves to describe the well-posedness of the local initial value problem for a given field.In particular this is applied to (classical) scalar fields in the class of curve integrable spacetimes to show that the classical singularities do not interrupt the well-posedness of the wave equation. Comment: 28 pages, 1 figure |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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