2026/02/12 by Thomas Chehab, Olivier Minazzoli
Physics and Astronomy · #Noncommutative and Quantum Gravity Theories #Relativity and Gravitational Theory #Pulsars and Gravitational Waves Research
paper · pdf · doi:10.1103/n927-nrbn
In context of Brans-Dicke scalar-tensor theories of gravity, it has recently been obtained that the post-Newtonian parameters should be generalized in the context of strongly gravitating bodies, and that its generalization -- the so-called exact parameters -- actually depends on the pressure and energy density of a considered celestial body. Here we develop two new methods to numerically obtain the exact parameters by means of usual Tolman-Oppenheimer-Volkoff computation, and find that the difference with the value of standard post-Newtonian parameters can be more than 80% in some situations. We also provide the connection with the Damour-Esposito Farèse non-pertubative parameter αDEF. We then apply the methodology to the case of Entangled Relativity, and derive these exact parameters for the Sun and the Earth, as well as for neutron stars. We argue that current and foreseeable experiments are likely able to constrain the theory under the assumption that Lm=-ρ, where ρ is the total energy density. If Lm=T instead, as often advocated in the literature, then there is no deviation with respect to General Relativity and the prospects of testing Entangled Relativity become much more remote in time, as only compact objects with extreme electric or magnetic fields could lead to some deviation from General Relativity.