Extended disformal approach in the scenario of rainbow gravity
Abstract
We investigate all feasible mathematical representations of disformal transformations on a space-time metric according to the action of a linear operator upon the manifold's tangent and cotangent bundles. The geometric, algebraic, and group structures of this operator and their interfaces are analyzed in detail. Then, we scrutinize a possible physical application, providing a new covariant formalism for a phenomenological approach to quantum gravity known as rainbow gravity.
- Publication:
-
Physical Review D
- Pub Date:
- February 2016
- DOI:
- 10.1103/PhysRevD.93.044005
- arXiv:
- arXiv:1511.00495
- Bibcode:
- 2016PhRvD..93d4005C
- Keywords:
-
- General Relativity and Quantum Cosmology;
- Mathematical Physics
- E-Print:
- 8 pages, 2 figures