Compact Objects in Entangled Relativity

Denis Arruga (1) , Olivier Rousselle (2) , Olivier Minazzoli (3)

1 APC (UMR_7164) - AstroParticule et Cosmologie
2 LKB [Collège de France] - Laboratoire Kastler Brossel
3 ARTEMIS - Astrophysique Relativiste Théories Expériences Métrologie Instrumentation Signaux

We describe the first numerical Tolman-Oppenheimer-Volkoff solutions of compact objects in entangled relativity, which is an alternative to the framework of general relativity that does not have any additional free parameter. Assuming a simple polytropic equation of state and the conservation of the rest-mass density, we notably show that, for any given density, compact objects are always heavier (up to ∼8%) in entangled relativity than in general relativity—for any given central density within the usual range of neutron stars’ central densities, or for a given radius of the resulting compact object.

Mots clés: General relativity; alternative theories of gravity; density; relativity theory; general relativity; entanglement; equation of state; conservation law; neutron star; star: compact; numerical calculations; Tolman-Oppenheimer-Volkoff equation

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]

Denis Arruga, Olivier Rousselle, Olivier Minazzoli. Compact Objects in Entangled Relativity. Physical Review D, 2021, 103 (2), pp.024034. ⟨10.1103/PhysRevD.103.024034⟩. ⟨hal-03070619⟩