Quantum Gravity 276.0: Western Canada Finds Gravitational Geons in 1+1 Dimensions With Fundamental Set

From Osher Doctorow

Dan N. Vollick of U. British Columbia Canada in "Gravitational geons
in 1+1 dimensions," arXiv: 0807.0611 v1 [gr-qc] 3 Jul 2008, 8 pages,
finds gravitational geons in 1+1 dimensions with properties from the
Fundamental Set:

1) {0, 1, 2, 3, 4, 5, 7, 10, 11, 13, 26}

or its ratios with Lagrangian proportional to:

2) R^(2/3)

where R is the Ricci scalar.

Gravitational geons are nonsingular configurations of the
gravitational field without horizons that last for a long time, an
interesting subclass being asymptotically flat and topologically
trivial vacuum spacetimes without horizons that aren't admitted by GR
but which are admitted by the widely expected GR corrections in
regions of large spacetime curvature.

If geons are produced in the early Universe, then they could by
surviving until the prsent account for some of the Dark Matter which
appears to exist in galactic clusters and galaxies.

Vollick also finds gravitational geons in Jackiw-Teitelbaum theory
with corrections proportional to R^2 and box-R which latter (box) is
the "covariant derivative invariant" D_u D^u.

The field equations are quite fascinating and reminiscent of Riccati
Differential Equations with one extra (higher order) derivative or a
higher degree dependent variable. I don't have the time to examine
those further now.

Osher Doctorow
.