English

Hessian Tensor and Standard Static Space-times

Differential Geometry 2009-01-05 v2 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

In this brief survey, we will remark the interaction among the Hessian tensor on a semi-Riemannian manifold and some of the several questions in Lorentzian (and also in semi-Riemannian) geometry where this 2-covariant tensor is involved. In particular, we deal with the characterization of Killing vector fields and the study of a set of consequences of energy conditions in the framework of standard static space-times.

Keywords

Cite

@article{arxiv.math/0607113,
  title  = {Hessian Tensor and Standard Static Space-times},
  author = {Fernando Dobarro and Bulent Unal},
  journal= {arXiv preprint arXiv:math/0607113},
  year   = {2009}
}

Comments

12 pages, changed title and content