Gorde:
| Egile Nagusiak: | , , |
|---|---|
| Formatua: | Preprint |
| Argitaratua: |
2026
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| Gaiak: | |
| Sarrera elektronikoa: | https://arxiv.org/abs/2602.14821 |
| Etiketak: |
Etiketa erantsi
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Aurkibidea:
- We parametrize pp-wave spacetimes with compact codimension 2 hypersurfaces. In the vacuum case, we show that these spacetimes are locally in one-to-one correspondence with smooth curves of Riemannian Ricci-flat metrics modulo smooth curves of diffeomorphisms. We also prove that this one-to-one correspondence extends to pp-waves with prescribed null Ricci curvature. Moreover, the pp-wave spacetime carries a lightlike parallel spinor if and only if one (and hence all) of the Ricci-flat metrics carries a parallel spinor.