Corrections to gravity due to a Sol manifold extra dimensional space

ar X iv : 0 80 1 . 35 27 v 1 [ he p - th ] 2 3 Ja n 20 08 Corrections to Gravity due to a Sol Manifold Extra Dimensional Space

The corrections to the gravitational potential due to a Sol extra dimensional compact manifold, denoted as M 3 A , are studied. The total spacetime is of the form M 4 × M 3 A. The range of the Sol corrections is investigated and compared to the range of the T 3 corrections.

ar X iv : 0 80 1 . 35 27 v 2 [ he p - th ] 1 6 Se p 20 08 Corrections to Gravity due to a Sol Manifold Extra Dimensional Space

The corrections to the gravitational potential due to a Sol extra dimensional compact manifold, denoted as M 3 A , are studied. The total spacetime is of the form M 4 × M 3 A. The range of the Sol corrections is investigated and compared to the range of the T 3 corrections. We find that for small values of the radius of the extra dimensions (R < 10 −6) the range of the Sol manifold corrections ...

Quantum Corrections to the Two Dimensional Gravity with External Field

We introduce an external field to calculate the quantum corrections to the solutions of the 2d gravity, via trace anomaly. We show that there are black hole type solutions even in the absence of matter field and cosmological constant. We also see that these solutions are similar to the ones obtained from dilaton two dimensional gravity. PACS: 04.60.+n; 11.17.+y; 97.60.Lf e-mail: [email protected]...

GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD

‎In this paper‎, ‎we introduce the structure of a groupoid associated to a vector field‎ ‎on a smooth manifold‎. ‎We show that in the case of the $1$-dimensional manifolds‎, ‎our‎ ‎groupoid has a‎ ‎smooth structure such that makes it into a Lie groupoid‎. ‎Using this approach‎, ‎we associated to‎ ‎every vector field an equivalence‎ ‎relation on the Lie algebra of all vector fields on the smooth...

On images of continuous functions from a compact manifold to Euclidean space