دورية أكاديمية
$\mathcal{I}$-degenerate pseudo-Riemannian metrics
| العنوان: | $\mathcal{I}$-degenerate pseudo-Riemannian metrics |
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| المؤلفون: | Hervik, Sigbjorn, Haarr, Anders, Yamamoto, Kei |
| سنة النشر: | 2014 |
| المجموعة: | ArXiv.org (Cornell University Library) |
| مصطلحات موضوعية: | Mathematical Physics, General Relativity and Quantum Cosmology |
| الوصف: | In this paper we study pseudo-Riemannian spaces with a degenerate curvature structure i.e. there exists a continuous family of metrics having identical polynomial curvature invariants. We approach this problem by utilising an idea coming from invariant theory. This involves the existence of a boost which is assumed to extend to a neighbourhood. This approach proves to be very fruitful: It produces a class of metrics containing all known examples of $\mathcal{I}$-degenerate metrics. To date, only Kundt and Walker metrics have been given, however, our study gives a plethora of examples showing that $\mathcal{I}$-degenerate metrics extend beyond the Kundt and Walker examples. The approach also gives a useful criterion for a metric to be $\mathcal{I}$-degenerate. Specifically, we use this to study the subclass of VSI and CSI metrics (i.e., spaces where polynomial curvature invariants are all vanishing or constants, respectively). ; Comment: 23 pages; v2: changed title+notation and cleaned up a bit |
| نوع الوثيقة: | text |
| اللغة: | unknown |
| العلاقة: | http://arxiv.org/abs/1410.4347Test |
| DOI: | 10.1016/j.geomphys.2015.08.019 |
| الإتاحة: | https://doi.org/10.1016/j.geomphys.2015.08.019Test http://arxiv.org/abs/1410.4347Test |
| رقم الانضمام: | edsbas.2A2924D5 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1016/j.geomphys.2015.08.019 |
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