Thin-disk models in an Integrable Weyl-Dirac theory

Abstract

We construct a class of static, axially symmetric solutions representing razor-thin disks of matter in an Integrable Weyl-Dirac theory proposed in Found. Phys. 29, 1303 (1999). The main differences between these solutions and the corresponding general relativistic one are analyzed, focusing on the behavior of physical observables (rotation curves of test particles, density and pressure profiles). We consider the case in which test particles move on Weyl geodesics. The same rotation curve can be obtained from many different solutions of the Weyl-Dirac theory, although some of these solutions present strong qualitative differences with respect to the usual general relativistic model (such as the appearance a ring-like density profile). In particular, for typical galactic parameters all rotation curves of the Weyl-Dirac model present Keplerian fall-off. As a consequence, we conclude that a more thorough analysis of the problem requires the determination of the gauge function $\beta$ on galactic scales, as well as restrictions on the test-particle behavior under the action of the additional fields introduced by this theory.

18 pages, 3 figures; accepted in General Relativity and Gravitation

References in corpus (5)

• The Core-Cusp Problem
• Galaxy rotation curves from General Relativity with Renormalization Group corrections
• A Weyl-Dirac Cosmological Model with DM and DE
• A thin disk in higher dimensional space-time and dark matter interpretation
• Gravity with extra dimensions and dark matter interpretation: Phenomenological example via Miyamoto-Nagai galaxy

Cited by in corpus (3)

• A method for evaluating models that use galaxy rotation curves to derive the density profiles
• Vertical stability of circular orbits in relativistic razor-thin disks
• Self-gravitating razor-thin disks around black holes via multi-hole seeds