A Singular Conformal Spacetime
arXiv:gr-qc/0403099 · doi:10.1016/j.geomphys.2005.06.004
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.
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
References in corpus (7)
Cited by in corpus (13)
- de Sitter special relativity
- Holographic Dark Energy and the Universe Expansion Acceleration
- de Sitter Relativity: a New Road to Quantum Gravity?
- On the spacetime connecting two aeons in conformal cyclic cosmology
- de Sitter geodesics: reappraising the notion of motion
- Is Physics Asking for a New Kinematics?
- Lorentz violation with an invariant minimum speed as foundation of the tachyonic inflation within a Machian scenario
- Scale-invariant cosmology in de Sitter gauge theory
- Deformed Special Relativity with an invariant minimum speed as an explanation of the cosmological constant
- A brief review of a modified relativity that explains cosmological constant
- de Sitter-invariant special relativity and the dark energy problem
- Entropy in locally-de Sitter spacetimes
- de Sitter relativity: a natural scenario for an evolving Lambda