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arxiv: 1506.02180 · v2 · pith:6T5DLAO2new · submitted 2015-06-06 · 🌀 gr-qc

Space-time singularities in Weyl manifolds

classification 🌀 gr-qc
keywords space-timeweyladoptcasecharacterdependextendextended
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We extend one of the Hawking-Penrose singularity theorems in general relativity to the case of some scalar-tensor gravity theories in which the scalar field has a geometrical character and space-time has the mathematical structure of a Weyl integrable space-time (WIST). We adopt an invariant formalism, so that the extended version of theorem does not depend on a particular frame.

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