- Gravitational lensing (lenses) and its applications to cosmology
- The acceleration of the expansion of the universe: Cosmological constant, dark energy ... etc
- Cosmological exact solutions to Einstein's field equations (cosmological models of wider generality than the classical homogeneous models)
- Constraining cosmological parameters and cosmological models using probes such as gravitational lensing, the cosmic microwave background (CMB), and supernova searches.
- Recently proposed cosmological models based on space-times with dimensions D > 4 ("brane" cosmologies) and constraints on such models from current and future cosmological data.
- Projects at the intersection of modern cosmology and general relativity
- Computer algebra systems and symbolic programming applied to general relativity and cosmology
- Junction conditions for matching space-times and constructing wormholes

- A procedure to distinguish between cosmic acceleration due to Dark Energy and cosmic acceleration due to a large extra dimension of space-time.
- Theoretical studies on improving weak gravitational lensing techniques and their applications to cosmology
- The topology of the big bang
- The relation between local and cosmic curvature
- Techniques for determining geodesics and geodesics precession rates in axisymmetric metrics
- Extended studies of current and future constraints on dark energy parameters from cosmic complementarity (CMB+weak gravitational lensing+supernova data) and cosmic shear tomography.
- An inverse approach to Einstein’s field equations
- Studies using perfect fluid models in non-comoving null spherical (observational) coordinates
- Stability of transparent spherically symmetric thin shells and wormholes with a cosmological constant
- Development of an online interactive geometric database, including exact solutions of Einstein's field equations (with an interface to computer algebra systems)
- Exact solutions of Einstein's field equations with w-modes oscillations

The predictions of general relativity are spectacularly manifested in nature as shown by the images below.

Gravitational Lens: Galaxy Cluster 0024+1654 |
Map of the Cosmic Microwave Background radiation From the Wilkinson Microwave Anisotropy Probe (WMAP): |

This site is still under construction. More to come in the near future.

Updated by M.A.Troxel