English

Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension

General Relativity and Quantum Cosmology 2010-01-07 v2 High Energy Physics - Theory

Abstract

We study spherically-symmetric structures in Conformal Gravity and in a scalar-tensor extension and gain some more insight about these gravitational theories. In both cases we analyze solutions in two systems: perfect fluid solutions and boson stars of a self-interacting complex scalar field. In the purely tensorial (original) theory we find in a certain domain of parameter space finite mass solutions with a linear gravitational potential but without a Newtonian contribution. The scalar-tensor theory exhibits a very rich structure of solutions whose main properties are discussed. Among them, solutions with a finite radial extension, open solutions with a linear potential and logarithmic modifications and also a (scalar-tensor) gravitational soliton. This may also be viewed as a static self-gravitating boson star in purely tensorial Conformal Gravity.

Keywords

Cite

@article{arxiv.0907.1951,
  title  = {Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension},
  author = {Y. Brihaye and Y. Verbin},
  journal= {arXiv preprint arXiv:0907.1951},
  year   = {2010}
}

Comments

24 pages, revised version, accepted for publication in Phys. Rev. D

R2 v1 2026-06-21T13:23:54.594Z