A discrete-time interpretation of the Planck-Einstein equation.
A New Model of Nonlocal Modified Gravity
Accelerated Lyra's cosmology driven by electromagnetic field in inhomogeneous universe.
Cauchy's problem for Bach's equations of general relativity.
Einstein equations for -Berwald-Moor relativistic models.
Emergent abelian gauge fields from noncommutative gravity.
theories.
Finsler cases of GF-space.
General relativity at the turn of the third millennium.
Generalized-Finslerian connection coefficients for the static spherically symmetric space.
La relativita generale proiettiva ed il campo scalare tensoriale.
La relativita generale proiettiva ed il campo tensoriale-vettoriale.
Metric tensors for homogeneous, isotropic, 5-dimensional pseudo Riemannian models.
New Vacuum Solutions for Quadratic Metric-Affine Gravity - a Metric Affine Model for the Massless Neutrino?
AMS Subj. Classification: 83C15, 83C35In this paper we present an overview of our research that was presented at theMASSEE International Congress on Mathematics MICOM 2009 in Ohrid, Macedonia. We deal with quadratic metric–affine gravity, which is an alternative theory of gravity. We present new vacuum solutions for this theory and an attempt to give their physical interpretation on the basis of comparison with existing classical models. These new explicit vacuum solutions of quadratic metric–affine...
Non-Riemannian gravitational interactions
Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.
On Finsler spaces satisfying the T-condition. (Short Communication).
On the history of unified field theories.
Quantum structures in Galilei general relativity
Scalar perturbations in f(R) cosmologies in the late Universe
Standard approach in cosmology is hydrodynamical approach, when galaxies are smoothed distributions of matter. Then we model the Universe as a fluid. But we know, that the Universe has a discrete structure on scales 150 - 370 MPc. Therefore we must use the generalized mechanical approach, when is the mass concentrated in points. Methods of computations are then different. We focus on -theories of gravity and we work in the cell of uniformity in the late Universe. We do the scalar perturbations...
Schrödinger-like dilaton gravity.