Extended disformal approach in the scenario of Rainbow Gravity
Gabriel G. Carvalho, Iarley P. Lobo, Eduardo Bittencourt
TL;DR
This paper explores the mathematical foundations of disformal transformations and introduces a new covariant formalism for Rainbow Gravity, aiming to deepen understanding of quantum gravity phenomenology.
Contribution
It develops a comprehensive mathematical framework for disformal transformations and applies it to formulate a covariant approach to Rainbow Gravity.
Findings
Detailed analysis of disformal transformation structures
New covariant formalism for Rainbow Gravity
Potential implications for quantum gravity models
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.
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