Analytical external spherical solutions in entangled relativity

• Published in: The European physical journal. C, Particles and fields Vol. 81; no. 11; pp. 1 - 11
• Main Authors: Arruga, Denis, Minazzoli, Olivier
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2021; Springer; Springer Nature B.V; Springer Verlag (Germany); SpringerOpen
• Subjects: Astronomy; Astrophysics and Cosmology; Elementary Particles; Equations of state; General Relativity and Quantum Cosmology; Geometry; Gravity; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Relativity; Spacetime; String Theory; Theory of relativity; black hole; hair: scalar; equation of state; field equations; dilaton; numerical calculations; entanglement; transformation: conformal; time delay; metric: Schwarzschild; star: compact; gravitation: scalar tensor; geodesic; relativity theory; symmetry: rotation; X-ray; Tolman-Oppenheimer-Volkoff equation
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-021-09818-x

In this manuscript, we present analytical external spherical solutions of entangled relativity, which we compare to numerical solutions obtained in a Tolman–Oppenheimer–Volkoff framework. Analytical and numerical solutions match perfectly well outside spherical compact objects, therefore validating both types of solutions at the same time. The analytical external (hairy) solutions – which depend on two parameters only – may be used in order to easily compute observables – such as X-ray pulse profiles – without having to rely on an unknown equation of state for matter inside the compact object.