89774 20210902121716.0 doi 10.1103/PhysRevD.101.064062 sideral 117883 ART-2020-117883 eng Relancio, J.J. Universidad de Zaragoza (orcid)0000-0003-1130-3982 Phenomenological consequences of a geometry in the cotangent bundle 2020 Access copy available to the general public Unrestricted A deformed relativistic kinematics can be understood within a geometrical framework through a maximally symmetric momentum space. However, when considering this kind of approach, usually one works in a flat spacetime and in a curved momentum space. In this paper, we will discuss a possible generalization to take into account both curvatures and some possible observable effects. We will first explain how to construct a metric in the cotangent bundle in order to have a curved spacetime with a nontrivial geometry in momentum space and the relationship with an action in phase space characterized by a deformed Casimir. Then, we will study within this proposal two different space-time geometries. In the Friedmann-Robertson-Walker universe, we will see the modifications in the geodesics (redshift, luminosity distance, and geodesic expansion) due to a momentum dependence of the metric in the cotangent bundle. Also, we will see that when the spacetime considered is a Schwarzschild black hole, one still has a common horizon for particles with different energies, differently from a Lorentz invariance violation case. However, the surface gravity computed as the peeling off of null geodesics is energy dependent. info:eu-repo/grantAgreement/EUR/COST-Action/CA18108 info:eu-repo/grantAgreement/ES/DGIID-DGA/2015-E24-2 info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 5.296 2020 PHYSICS, PARTICLES & FIELDS 6 / 29 = 0.207 2020 Q1 T1 ASTRONOMY & ASTROPHYSICS 15 / 68 = 0.221 2020 Q1 T1 1.887 2020 Physics and Astronomy (miscellaneous) 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Liberati, S. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 101, 6 (2020), 064062 1-15 Phys. rev. D Physical Review D 2470-0010 288799 http://zaguan.unizar.es/record/89774/files/texto_completo.pdf Versión publicada 19897 http://zaguan.unizar.es/record/89774/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:89774 articulos driver 2021-09-02-09:24:21 ARTICLE