Couplings of gravity to antisymmetric gauge fields

Antisymmetric Tensor Gauge Fields on S4

Gravity Coupled to Gauge Fields

Some exact static solutions for Einstein gravity in 2 + 1 dimensions coupled to abelian gauge field are discussed, where the invariant interval is of the form: ds = N(r)dt − dr − C(r)dθ. Some of these solutions are threedimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and outside the horison are connected by the changing of the Planck mass sign. 1 On leave...

Couplings between generalized gauge fields

We analyze the BRST field-antifield construction for generalized gauge fields consisting of massless mixed representations of the Lorentz Group and we calculate all the strictly gauge invariant interactions between them. All these interactions are higher derivative terms constructed out from the derivatives of the curl of field strength. PACS: 2.20.-a, 11.15.-q, 11.10.Kk, 11.25.-w

Gauge Fields and Gravity

The work extends the A. Connes’ noncommutative geometry to spaces with generic local anisotropy. We apply the E. Cartan’s anholonomic frame approach to geometry models and physical theories and develop the nonlinear connection formalism for projective module spaces. Examples of noncommutative generation of anholonomic Riemann, Finsler and Lagrange spaces are analyzed. We also present a research...

August , 1997 Non - Abelian Gravity and Antisymmetric Tensor Gauge Theory

A non-abelian generalisation of a theory of gravity coupled to a 2-form gauge field and a dilaton is found, in which the metric and 3-form field strength are Lie algebra-valued. In the abelian limit, the curvature with torsion is self-dual in four dimensions, or has SU(n) holonomy in 2n dimensions. The coupling to self-dual Yang-Mills fields in 4 dimensions, or their higher dimensional generali...