http://arxiv.org/abs/2211.06079
We examine the exterior solution of spherically symmetric and static configuration in scalar-tensor theories by solving the differential equations numerically and fitting the resulting data in the interested region. Our main purpose in this work is to find out approximate analytical expressions which are independent of the parameters of a model as much as possible. To this end, we use the nonminimally coupled scalar field with zero potential as our sample model. We determine the forms of the mass and the metric functions in terms of the scalar field up to a certain order of accuracy. Then, we define a function for the scalar field that contains only the mass and the radius of the configuration as the parameters.
A. Arapoğlu, S. Çağan and A. Yükselci
Tue, 15 Nov 22
33/103
Comments: 15 pages, 7 figures