Gravity's Rainbow

By João Magueijo, Lee Smolin. 2003

537 citations recorded by the source corpus.

. Non-linear special relativity (or doubly special relativity) is a simple framework for encoding properties of ﬂat quantum space-time. In this paper we show how this formalism may be generalized to incorporate curvature (leading to what might be called “doubly general relativity”). We ﬁrst propose a dual to non-linear realizations of relativity in momentum space, and show that for such a dual the spacetime invariant is an energy-dependent metric. This leads to an energy-dependent connection and curvature, and a simple modiﬁcation to Einstein’s equations. We then examine solutions to these equations. We ﬁnd the counterpart to the cosmological metric, and show how cosmologies based upon our theory of gravity may solve the “horizon problem”. We discuss the Schwarzschild solution, examining the conditions for which the horizon is energy dependent. We ﬁnally ﬁnd the weak ﬁeld limit.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/dfa08f3eace60bd151984e083295d187e126933c

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Citations in the corpus

Prospects for constraining quantum gravity dispersion with near term observations (2009, background): “Significant progress has also been achieved by attempts to formulate DSR theories in terms of an energy-dependent “rainbow” metric [34].”
Deformed special relativity as an effective flat limit of quantum gravity (2004, methodology): “[27] J Magueijo, L Smolin, Gravity’s Rainbow, Class.”
Planck-scale modified dispersion relations and Finsler geometry (2006, background): “However the rainbow metric idea proposed in [31] still lacks a rigorous formulation since it involves a metric defined on the tangent bundle, while depending on a quantity associated to the cotangent bundle (i.”
Phenomenology of the Lense-Thirring effect in the solar system (2010, background): “Currently, the most detailed view of the early universe comes from 39 the microwave background radiation, which decoupled from matter about 300.000 years after the big bang, and gives us an accurate picture of the universe at this very early time (Smoot and Steinhardt 1993; Allen 1997; Corda 2010).”
Stellar structure models in modified theories of gravity: Lessons and challenges (2019, background): “36The same EOS have been considered within a generalization of doubly special relativity incorporating curvature corrections, known as gravity’s rainbow [298].”