4 research outputs found
Irreducible holonomy algebras of Riemannian supermanifolds
Possible irreducible holonomy algebras \g\subset\osp(p,q|2m) of Riemannian
supermanifolds under the assumption that \g is a direct sum of simple Lie
superalgebras of classical type and possibly of a one-dimensional center are
classified. This generalizes the classical result of Marcel Berger about the
classification of irreducible holonomy algebras of pseudo-Riemannian manifolds.Comment: 27 pages, the final versio
Hidden Symmetries for Ellipsoid-Solitonic Deformations of Kerr-Sen Black Holes and Quantum Anomalies
We prove the existence of hidden symmetries in the general relativity theory
defined by exact solutions with generic off-diagonal metrics, nonholonomic
(non-integrable) constraints, and deformations of the frame and linear
connection structure. A special role in characterization of such spacetimes is
played by the corresponding nonholonomic generalizations of Stackel-Killing and
Killing-Yano tensors. There are constructed new classes of black hole solutions
and studied hidden symmetries for ellipsoidal and/or solitonic deformations of
"prime" Kerr-Sen black holes into "target" off-diagonal metrics. In general,
the classical conserved quantities (integrable and not-integrable) do not
transfer to the quantized systems and produce quantum gravitational anomalies.
We prove that such anomalies can be eliminated via corresponding nonholonomic
deformations of fundamental geometric objects (connections and corresponding
Riemannian and Ricci tensors) and by frame transforms.Comment: latex2e, 11pt, 34 pages, the variant accepted by EPJC, with
additional explanations, modifications and new references requested by
refere
On the geodesics for a spherically symmetric dilaton black hole
In this paper we shall investigate the timelike geodesics for an extremal,
spherically symmetric, massless dilaton black hole, using an exact solution
obtained by Gary Horowitz