Averaged energy conditions for vector fields

2023/03/30 by Francisco José Maldonado Torralba, Torralba, Francisco José Maldonado
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2303.17377

openalex publication_date 2023/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this work we shall obtain sufficient conditions for the appearance of singularities in gravitational theories which propagate an extra vector degree of freedom, based on the known relaxations of the singularity theorems. We study the cases of a general Proca field and a vector theory with stable self-derivative interactions. In this study we show several cases of singularities that usually would be considered as potentially singularity-free, since they violate the usual point-like energy conditions.

Related

• Singularity theorems from weakened energy conditions
• On scalar and vector fields coupled to the energy-momentum tensor
• Investigation of energy conditions in the vicinity of future cosmological singularities
• On the problem of cosmological singularity within gauge theories of gravitation
• Dynamical study of the singularities of gravity in the presence of non-minimally coupled scalar fields