Geometric scalar theory of gravity beyond spherical symmetry

We construct several exact solutions for a recently proposed geometric scalar theory of gravity. We focus on a class of axisymmetric geometries and a big-bang-like geometry and discuss their Lorentzian character. The axisymmetric solutions are parametrized by an integer angular momentum l. The l=0 (...

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Bibliographic Details
Published in:Physical review. D 2017-04, Vol.95 (8), Article 084017
Main Authors: Moschella, U., Novello, M.
Format: Article
Language:English
Subjects:
Angular momentum
Creationism
Gravitation
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Summary:We construct several exact solutions for a recently proposed geometric scalar theory of gravity. We focus on a class of axisymmetric geometries and a big-bang-like geometry and discuss their Lorentzian character. The axisymmetric solutions are parametrized by an integer angular momentum l. The l=0 (spherical) case gives rise to the Schwarzschild geometry. The other solutions have naked singular surfaces. While not a priori obvious, all the solutions that we present here are globally Lorentzian. The Lorentzian signature appears to be a robust property of the disformal geometries solving the vacuum geometric scalar theory of gravity equations.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.084017