Exploring Lovelock theory moduli space for Schrödinger solutions

Autor: Dileep P. Jatkar, Nilay Kundu
Jazyk: angličtina
Rok vydání: 2016
Předmět:
Zdroj: Nuclear Physics B, Vol 910, Iss C, Pp 273-292 (2016)
Druh dokumentu: article
ISSN: 0550-3213
1873-1562
DOI: 10.1016/j.nuclphysb.2016.07.008
Popis: We look for Schrödinger solutions in Lovelock gravity in D>4. We span the entire parameter space and determine parametric relations under which the Schrödinger solution exists. We find that in arbitrary dimensions pure Lovelock theories have Schrödinger solutions of arbitrary radius, on a co-dimension one locus in the Lovelock parameter space. This co-dimension one locus contains the subspace over which the Lovelock gravity can be written in the Chern–Simons form. Schrödinger solutions do not exist outside this locus and on this locus they exist for arbitrary dynamical exponent z. This freedom in z is due to the degeneracy in the configuration space. We show that this degeneracy survives certain deformation away from the Lovelock moduli space.
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