000089774 001__ 89774 000089774 005__ 20210902121716.0 000089774 0247_ $$2doi$$a10.1103/PhysRevD.101.064062 000089774 0248_ $$2sideral$$a117883 000089774 037__ $$aART-2020-117883 000089774 041__ $$aeng 000089774 100__ $$0(orcid)0000-0003-1130-3982$$aRelancio, J.J.$$uUniversidad de Zaragoza 000089774 245__ $$aPhenomenological consequences of a geometry in the cotangent bundle 000089774 260__ $$c2020 000089774 5060_ $$aAccess copy available to the general public$$fUnrestricted 000089774 5203_ $$aA 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. 000089774 536__ $$9info:eu-repo/grantAgreement/EUR/COST-Action/CA18108$$9info:eu-repo/grantAgreement/ES/DGIID-DGA/2015-E24-2$$9info:eu-repo/grantAgreement/ES/MINECO-FEDER/PGC2018-095328-B-I00 000089774 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000089774 590__ $$a5.296$$b2020 000089774 591__ $$aPHYSICS, PARTICLES & FIELDS$$b6 / 29 = 0.207$$c2020$$dQ1$$eT1 000089774 591__ $$aASTRONOMY & ASTROPHYSICS$$b15 / 68 = 0.221$$c2020$$dQ1$$eT1 000089774 592__ $$a1.887$$b2020 000089774 593__ $$aPhysics and Astronomy (miscellaneous)$$c2020$$dQ1 000089774 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000089774 700__ $$aLiberati, S. 000089774 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000089774 773__ $$g101, 6 (2020), 064062 1-15$$pPhys. rev. D$$tPhysical Review D$$x2470-0010 000089774 8564_ $$s288799$$uhttps://zaguan.unizar.es/record/89774/files/texto_completo.pdf$$yVersión publicada 000089774 8564_ $$s19897$$uhttps://zaguan.unizar.es/record/89774/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000089774 909CO $$ooai:zaguan.unizar.es:89774$$particulos$$pdriver 000089774 951__ $$a2021-09-02-09:24:21 000089774 980__ $$aARTICLE