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CCNV Space‐Times as Potential Supergravity Solutions

A. Coley, D. McNutt and N. Pelavas

Advances in Mathematical Physics, 2018, vol. 2018, issue 1

Abstract: It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space‐time admits a Killing spinor and hence a null or time‐like Killing vector field. Any space‐time admitting a covariantly constant null vector (CCNV) field belongs to the Kundt class of metrics and more importantly admits a null Killing vector field. We investigate the existence of additional non‐space‐like isometries in the class of higher‐dimensional CCNV Kundt metrics in order to produce potential solutions that preserve some supersymmetries.

Date: 2018
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https://doi.org/10.1155/2018/5861481

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