A discrete-time interpretation of the Planck-Einstein equation.
A New Model of Nonlocal Modified Gravity
A speculative approach to quantum gravity.
A unified model of phantom energy and dark matter.
Accelerated Lyra's cosmology driven by electromagnetic field in inhomogeneous universe.
An almost-Robertson-Walker universe model and the equivalence classes of perturbations : nonbarotropic perfect fluids
An application of the special Reissner-Nordström space-time to description of the universe in the neighbourhood of the Planck era
The description of the special Reissner-Nordström space-time in the Planck era is presented and its comparison with the Robertson-Walker space-time is given.
Application of linear hyperbolic PDE to linear quantum fields in curved spacetimes : especially black holes, time machines and a new semi-local vacuum concept
Several situations of physical importance may be modelled by linear quantum fields propagating in fixed spacetime-dependent classical background fields. For example, the quantum Dirac field in a strong and/or time-dependent external electromagnetic field accounts for the creation of electron-positron pairs out of the vacuum. Also, the theory of linear quantum fields propagating on a given background curved spacetime is the appropriate framework for the derivation of black-hole evaporation (Hawking...
Averaging problem in general relativity and cosmology
Computational cosmology: From the early universe to the large scale structure.
Conformal geometry and spatially homogeneous cosmology
Cosmic censorship for Gowdy spacetimes.
Cosmological background of gravitational waves
Cosmological symmetry breaking and generation of electromagnetic field.
Experimental searches for dark matter.
theories.
General relativity at the turn of the third millennium.
Measuring our universe from galaxy redshift surveys.
Metric tensors for homogeneous, isotropic, 5-dimensional pseudo Riemannian models.
Mirror symmetry and conformal flatness in general relativity.