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arXiv · 1508.05678

Exact solutions in $\mathcal{R}^{2}$ SUGRA

Adolfo Cisterna·Mokhtar Hassaïne·Julio Oliva
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Abstract

This letter is devoted to show that the bosonic sector of the $\mathcal{R}^{2}$-SUGRA in four dimensions, constructed with the F-term, admits a variety of exact and analytic solutions which include, pp- and AdS waves, asymptotically flat and AdS black holes and wormholes, as well as product spacetimes. The existence of static black holes and wormholes implies that a combination involving the Ricci scalar plus the norm of the field strength of the auxiliary two-form $B_{μν}$, must be a constant. We focus on this sector of the theory which has two subsectors depending on whether such a combination vanishes or not.

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Adolfo Cisterna, Mokhtar Hassaïne, Julio Oliva. 2015-10-19. Exact solutions in $\mathcal{R}^{2}$ SUGRA. https://doi.org/10.1103/physrevd.92.104012

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