Astrophysics of Bertrand Space-times

Abstract

We construct a model for galactic dark matter that arises as a solution of Einstein gravity, and is a Bertrand space-time matched with an external Schwarzschild metric. This model can explain galactic rotation curves. Further, we study gravitational lensing in these space-times, and in particular we consider Einstein rings, using the strong lensing formalism of Virbhadra and Ellis. Our results are in good agreement with observational data, and indicate that under certain conditions, gravitational lensing effects from galactic dark matter may be similar to that from Schwarzschild backgrounds.

1 + 21 Pages, 8 .eps figures

References in corpus (8)

• Relativistic images of Schwarzschild black hole lensing
• Time delay and magnification centroid due to gravitational lensing by black holes and naked singularities
• The Universal Rotation Curve of Spiral Galaxies. II The Dark Matter Distribution out to the Virial Radius
• Can strong gravitational lensing distinguish naked singularities from black holes?
• Galactic Dark Matter and Bertrand Space-times
• Possible potentials responsible for stable circular relativistic orbits
• Geodesic Congruences and Their Deformations in Bertrand Space-times
• Geodesic flows and their deformations in Bertrand spacetimes

Cited by in corpus (25)

• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• A novel gravitational lensing feature by wormholes
• Shadow of a Naked Singularity without Photon Sphere
• Analytical approach to strong gravitational lensing from ultracompact objects
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Shadows and negative precession in non-Kerr spacetime
• Shadow of nulllike and timelike naked singularities without photon spheres
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• Precession of timelike bound orbits in Kerr spacetime
• Strong gravitational lensing by a strongly naked null singularity
• Towards an observational test of black hole versus naked singularity at the galactic center
• Perihelion Precession and Shadows near Blackholes and Naked Singularities
• Globally visible singularity in an astrophysical setup
• Light trajectory and shadow shape in the rotating naked singularity
• Tidal Forces in Naked Singularity Backgrounds
• Negative Time Delay in Strongly Naked Singularity Lensing
• Comparing thin accretion disk properties of naked singularities and black holes
• Self-gravitating fluid systems and galactic dark matter
• Galactic space-times in modified theories of gravity
• Stationary solutions of the second-order equation for fermions in Kerr-Newman space-time
• Motion of half-spin particles in the axially symmetric field of naked singularities of static q-metric
• On Strong Gravitational Lensing in Rotating Galactic Space-times
• Fermi Normal Coordinates and Fermion Curvature Couplings in General Relativity
• Post-Newtonian properties of EMRI with Power Law Potential
• Isochrone spacetimes