MG11 
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Abstract

The second post-Newtonian order generalized Kepler equation

The radial component of the motion of compact binary systems composed of neutron stars and/or black holes on eccentric orbit is integrated. We consider all type of perturbations that emerge up to second post-Newtonian order. These perturbations are either of relativistic origin or are related to the spin, mass, quadrupole and magnetic dipole moments of the binary components. We derive a generalized Kepler equation and investigate its domain of validity, in which it properly describes the radial motion.

Black holes on cosmological branes

While in general relativity black holes can be freely embedded into a cosmological background, the same problem in brane-worlds is much more cumbersome. We present here both a series of no-go results and of explicit constructions of such space-times. We also discuss gravitational collapse in this context.

Is dark matter futile on the brane?

We investigate whether dark matter can be replaced by various source terms appearing in the effective Einstein equation, valid on a brane embedded into a higher dimensional space-time (the bulk). Such non-conventional source terms include a quadratic (ordinary) matter source term, a geometric source term originating in the Weyl curvature of the bulk, a source term arising from the possible asymmetric embedding, and finally the pull-back to the brane of possible non-standard model bulk fields.