Asymptotic Flatness in Rainbow Gravity
Jonathan Hackett
TL;DR
This paper develops a framework for understanding asymptotic flatness in Rainbow gravity, establishing a conformal infinity construction and linking asymptotic flatness with doubly special relativity.
Contribution
It introduces a conformal infinity construction for Rainbow-flat space-time and defines asymptotic DSRness compatible with Rainbow gravity principles.
Findings
Constructed conformal infinity for Rainbow-flat space-time.
Defined asymptotic DSRness consistent with Rainbow gravity.
Proved equivalence between asymptotically flat and DSR spacetimes.
Abstract
A construction of conformal infinity in null and spatial directions is constructed for the Rainbow-flat space-time corresponding to doubly special relativity. From this construction a definition of asymptotic DSRness is put forward which is compatible with the correspondence principle of Rainbow gravity. Furthermore a result equating asymptotically flat space-times with asymptotically DSR spacetimes is presented.
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