Spherical Structures in Conformal Gravity and its Scalar-Tensor Extension

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.

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

References in corpus (4)

• Alternatives to Dark Matter and Dark Energy
• Fourth order gravity: equations, history, and applications to cosmology
• Fourth order Weyl gravity
• Schwarzschild limit of conformal gravity in the presence of macroscopic scalar fields

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