Hawking's singularity theorem for C^{1,1}-metrics
We provide a detailed proof of Hawking's singularity theorem in the regularity class C^{1,1}, i.e., for spacetime metrics possessing locally Lipschitz continuous first derivatives. The proof uses recent results in C^{1,1}-causality theory and is based on regularisation techniques adapted to the...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
2015-03-17.
|
| Subjects: | |
| Online Access: | Get fulltext |
| Summary: | We provide a detailed proof of Hawking's singularity theorem in the regularity class C^{1,1}, i.e., for spacetime metrics possessing locally Lipschitz continuous first derivatives. The proof uses recent results in C^{1,1}-causality theory and is based on regularisation techniques adapted to the causal structure. |
|---|