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Observables from modified dispersion relations on curved spacetimes: Circular orbits, redshift and lateshift

    https://doi.org/10.1142/9789811258251_0299Cited by:0 (Source: Crossref)
    Abstract:

    The Hamiltonian formulation of modified dispersion relations (MDRs) allows for their implementation on generic curved spacetimes. In turn it is possible to derive phenomenological effects. I will present how to construct the kappa-Poincare dispersion relation on curved spacetimes, its spherically symmetric realizations, among them the kappa deformation of Schwarzschild spacetime, and its implementation on Friedmann-Lemaître-Robertson-Walker spacetimes with arbitrary scale factor. In addition we will construct the general first order modifications of the general relativistic dispersion relation. After-wards we will use the perturbative MDRs to calculate specific observables such as the redshift, lateshift and photon circular orbits.