Gravity theory with a dark extra dimension

Abstract

We set up a vacuum theory of gravity with an extra dimension of vanishing proper length. The most general solution to the field equations are presented. This formulation is free of Kaluza-Klein modes and does not allow the propagation of gravitons along the invisible fifth direction. Apart from a vacuum energy and radiation, the associated emergent theory exhibits a nonpropagating vector-tensor multiplet which has no analogue in standard Einstein gravity. It is naturally inert, obeys a bounded equation of state and has coupling properties radically different from ordinary matter. Based on these distinctive features, we propose that this geometric multiplet could supercede the hypothetical ``dark matter''. As further evidence in support of this possibility, we show that the galactic rotation curves are predicted to be asymptotically flat.

Version identical with the one to be published; Title changed

References in corpus (6)

• Perfect Fluid Dark Matter
• New solutions in pure gravity with degenerate tetrads
• A degenerate extension of the Schwarzschild exterior
• Spacetime-bridge solutions in vacuum gravity
• Taming Dirac strings and timelike loops in vacuum gravity
• Time travel in vacuum spacetimes

Cited by in corpus (8)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Wormholes with a warped extra dimension?
• 4D Einstein-Gauss-Bonnet Gravity From Non-Einsteinian Phase
• Dark Matter and Dark Energy from a Kaluza-Klein inspired Brans-Dicke Gravity with Barotropic Fluid
• Compactified extra dimension and entanglement island as clues to quantum gravity
• A discrete discontinuity between the two phases of gravity
• Two-dimensional gravity from vanishing metrical dimensions
• Exact Solutions with Asymptotically Flat Galactic Rotation Curves