For a conformal manifold we introduce the notion of an ambient connection, an affine connection on an ambient manifold of the conformal manifold, possibly with torsion, and with conditions relating it to the conformal structure. The purpose of this construction is to realise the normal conformal tractor holonomy as affine holonomy of such a connection. We give an example of an ambient connectio...

If we consider the spacetime manifold as product of a constant curvature 2-sphere (hypersphere) and a 2-space, then solution of the Einstein equation requires that the latter must also be of constant curvature. There exist only two solutions for classical matter distribution which are given by the Nariai (anti) metric describing an Einstein space and the Bertotti Robinson (anti) metric describi...

We propose a topological version of four-dimensional (Euclidean) Einstein gravity, in which anti-self-dual 2-forms and an SU(2) connection are used as fundamental fields. The theory describes the moduli space of conformally self-dual Einstein manifolds. In the presence of a cosmological constant, we evaluate the index of the elliptic complex associated with the moduli space. e-mail: [email protected]...

The global topology of the universe, including questions about the shape of space, its volume and its connectedness, is a fundamental issue in cosmology which has been overlooked for many years, except by some pioneering authors (see references in LachièzeRey & Luminet, 1995, hereafter LaLu95). In the first part of the present article, I set out some unexplored historical material about the ear...

A major difficulty with conventional formulations of euclidean quantum gravity is the fact that the Einstein action I, can become arbitrarily negative [l]. This means that the path integral of exp( -In) does not converge. The problem persists for lattice formulations of gravity [2] and provides an obstacle to progress for calculations of anything other than the weak field limit [3]. A possible ...

It’s shown that the rotating dilaton-axion black hole solution can be obtained from GGHS static charged dilaton black hole solution via NewmanJanis method. PACS number(s): 02.30.Dk,04.20.Cv The low energy limit of the heterotic string theory gives an interesting generalization of Einstein-Maxwell theory the Einstein-Maxwell-dilaton axion gravity.The field equations of the Einstein-Maxwell-dilat...

and Soils. D. L. Blaney, D. Archer, R. Arvidson, S. Cull, M. Ellehoj, D. Fisher, M. Hecht, M. Lemmon, M. Mellon, R. Morris, T. Pike, P. Smith, C. Stoker, and the Phoenix Science Team.NASA Jet Propulsion Laboratory/California Institute of Technology, 4800 Oak Grove Drive, MS 264-422, Pasadena CA 91109 [email protected], University of Arizona, Washington University St. Louis , Niels Boh...

This work addresses more to the technical rather than to the physical problem, how to calculate analytically the form factor F (Q), the associated mean-square radius < r >, and the distribution function Φ(x,Q) for a given light-cone wave function Ψqq̄(x,~k⊥) of the pion. They turn out to be functions of only one dimensionless parameter, which is the ratio of the constituent quark mass and an eff...