Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension

Details Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension

2009-07-11

arxiv.org/abs/0907.1951v2

Phys.Rev.D80:124048,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.80.124048

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.

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