https://doi.org/10.1140/epjc/s10052-015-3671-7
Regular Article - Theoretical Physics
Space-time singularities in Weyl manifolds
1
CAPES Foundation, Ministry of Education of Brazil, Brasilia, Brazil
2
Departamento de Física, Universidade Federal da Paraíba, C. Postal 5008, João Pessoa, PB, 58051-970, Brazil
3
Dipartimento di Fisica, Sapienza Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy
* e-mail: cromero@fisica.ufpb.br
Received:
13
August
2015
Accepted:
8
September
2015
Published online:
25
September
2015
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. We adopt an invariant formalism, so that the extended version of the theorem does not depend on a particular frame.
© SIF and Springer-Verlag Berlin Heidelberg, 2015