New directions in Background Independent Quantum Gravity

New Einstein-Maxwell fields of Levi-Civita's type

New electromagnetic conservation laws

New embedding of Schwarzschild geometry. I. Exterior solution

New Energy Definition for Higher Curvature Gravities

New Equations for Gravitation with Riemann Tensor and 4-Index Energy-Momentum Tensors for Gravitation and Matter

New exact cosmological solutions to Einstein's gravity minimally coupled to a Quintessence field

New exact solutions for power-law inflation Friedmann models

New exact solutions in standard inflationary models

New Examples of Marginally Trapped Surfaces and Tubes in Warped Spacetimes

New examples of sandwich gravitational waves and their impulsive limit

New explicit spike solution -- non-local component of the generalized Mixmaster attractor

New families of singularity-free cosmological models

New family of inhomogeneous $γ$-law cosmologies: example of gravitational waves in a homogeneous $p=\varrho/3$ background

New Features of Extended Wormhole Solutions in the Scalar Field Gravity Theories

New features of flat (4+1)-dimensional cosmological model with a perfect fluid in Gauss-Bonnet gravity

New first integral for twisting type-N vacuum gravitational fields with two non-commuting Killing vectors

New first-order formulation for the Einstein equations

New Five Dimensional Black Holes Classified by Horizon Geometry, and a Bianchi VI Braneworld

New Five Dimensional Spherical Vacuum Solutions