English

A Singular Conformal Spacetime

General Relativity and Quantum Cosmology 2015-06-25 v2 High Energy Physics - Theory

Abstract

The infinite cosmological "constant" limit of the de Sitter solutions to Einstein's equation is studied. The corresponding spacetime is a singular, four-dimensional cone-space, transitive under proper conformal transformations, which constitutes a new example of maximally-symmetric spacetime. Grounded on its geometric and thermodynamic properties, some speculations are made in connection with the primordial universe.

Keywords

Cite

@article{arxiv.gr-qc/0403099,
  title  = {A Singular Conformal Spacetime},
  author = {R. Aldrovandi and J. P. Beltran Almeida and J. G. Pereira},
  journal= {arXiv preprint arXiv:gr-qc/0403099},
  year   = {2015}
}

Comments

RevTeX4, 10 pages, 1 eps figure. Presentation changes, including a new title; section II.E, on the thermodynamic properties of the de Sitter horizon, completely revised. Version to be published in Journal of Geometry and Physics