A Modified Gravity Theory: Null Aether

Horava-Lifshitz theory as a fermionic aether in Ashtekar gravity

Two-dimensional gravity with a dynamical aether

We investigate the two-dimensional behavior of gravity coupled to a dynamical unit timelike vector field, i.e. “Einstein-aether theory”. The classical solutions of this theory in two dimensions depend on one coupling constant. When this coupling is positive the only solutions are (i) flat spacetime with constant aether, (ii) de Sitter or anti-de Sitter spacetimes with a uniformly accelerated un...

Naked Singularity in a Modified Gravity Theory

Abstract. The cosmological constant induced by quantum fluctuation of the graviton on a given background is considered as a tool for building a spectrum of different geometries. In particular, we apply the method to the Schwarzschild background with positive and negative mass parameter. In this way, we put on the same level of comparison the related naked singularity (−M) and the positive mass ...

Einstein-aether Theory *

Could there be an æther after all and we have just not yet noticed it? By an “æther” of course we do not mean to suggest a mechanical medium whose deformations correspond to electromagnetic fields, but rather a locally preferred state of rest at each point of spacetime, determined by some hitherto unknown physics. Such a frame would not be determined by a circumstance such as the moon’s gravita...

Maxwell's Equations and Einstein-Gravity in the Planck Aether Model of a Unified Field Theory

In the Planck aether substratum model it is assumed that space is densely filled with both positive and negative Planck masses described by a nonlinear nonrelativistic operator field equation. Without expenditure of energy this substratum can form a lattice of vortex rings, with the vortex core radius equal the Planck length. The vortex ring radius is determined by a universal minimum energy qu...