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
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- 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