A positive cosmological constant as a geometrical artifact
Preprint
Abstract
We revisit the classical mechanism to produce $d-$dimensional spacetimes via Kaluza-Klein compactification. We made the assumption that the $\left(d+1\right) -$dimensional bulk geometry $\mathcal{M}$ admits a Homothetic Vector Field (HVF) $\mathbf{H}$ relaxing the existence of a zero i.e. $\mathbf{H}\neq 0$ holds on $\mathcal{M}$ and the homothetic bivector $F_{ab}(\mathbf{H})=0$. Under these circumstances we identify the origin of a positive cosmological constant in the $d-$dimensional spacetime as the homothetic factor representing a geometrical artifact of late time state of the $\left( d+1\right) -$dimensional bulk spacetime.
Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Self-similar cosmologies in 5D: our universe as a topological separation from an empty 5D Minkowski spaceJournal of Cosmology and Astroparticle Physics, 2008
- The generalized dark radiation and accelerated expansion in brane cosmologyPhysics Letters B, 2006
- The similarity hypothesis in general relativityGeneral Relativity and Gravitation, 2005
- Self-similar Bianchi models: II. Class B modelsClassical and Quantum Gravity, 2004
- Letter: On Tilted Perfect Fluid Bianchi Type VI0 Self-Similar ModelsGeneral Relativity and Gravitation, 2004
- Self-similar Bianchi models: I. Class A modelsClassical and Quantum Gravity, 2003
- New dimensions at a millimeter to a fermi and superstrings at a TeVPhysics Letters B, 1998
- The hierarchy problem and new dimensions at a millimeterPhysics Letters B, 1998
- Kaluza-Klein gravityPhysics Reports, 1997
- D -dimensional gravity from ( D + 1) dimensionsClassical and Quantum Gravity, 1995