Abstract
Herein, the system of Einstein equations and the equation of the Freund – Nambu massless scalar field for static spherically symmetric and axially symmetric fields are considered. It is shown that this system of field equations decouples into gravitational and scalar subsystems. In the second post-Newtonian approximation, the solutions for spherically symmetric and slowly rotating sources are obtained. The application of the obtained solutions to astrophysical problems is discussed.
Highlights
The system of Einstein equations and the equation of the Freund – Nambu massless scalar field for static spherically symmetric and axially symmetric fields are considered
It is shown that this system of field equations decouples into gravitational and scalar subsystems
Scalar field coupled to the trace of the energy-momentum tensor / P
Summary
The system of Einstein equations and the equation of the Freund – Nambu massless scalar field for static spherically symmetric and axially symmetric fields are considered. Скалярное полевое уравнение этой теории определяется тем условием, что источником линейного скалярного поля является след его собственного тензора энергии-импульса. Из (2) следует, что уравнение скалярного поля и его тензор энергии-импульса имеют вид А метрика gμν удовлетворяет уравнениям Эйнштейна с тензором энергии-импульса скалярного поля (4) в правой части. Что для уравнения скалярного поля с источником в виде следа собственного тензора энергии-импульса может быть получено более общее выражение, содержащее кроме константы скалярного взаимодействия и массы скалярного поля еще один параметр.
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