Space-time singularities in Weyl manifolds

The European Physical Journal C

I. P. Lobo¹  A. B. Barreto²  C. Romero² 

[1] CAPES Foundation, Ministry of Education of Brazil, Brasilia, Brazil;Dipartimento di Fisica, Sapienza Università di Roma, P.le Aldo Moro 5, 00185, Rome, Italy;Departamento de Física, Universidade Federal da Paraíba, C. Postal 5008, 58051-970, João Pessoa, PB, Brazil;

关键词: Strong Energy Condition;    Weyl Transformation;    Raychaudhuri Equation;    Cosmological Singularity;    Vector Field Versus;   

DOI  :  10.1140/epjc/s10052-015-3671-7

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY