Quantum gravity in everyday life: general relativity as an effective field theory.
Quantum gravity: unification of principles and interactions, and promises of spectral geometry.
Quantum information from graviton-matter gas.
Quantum spacetime
Quantum spacetime: a disambiguation.
Quantum structures in Galilei general relativity
Quantum vacuum polarization at the Black-Hole horizon
Quasilinear differential equations in exterior domains with nonlinear boundary conditions and application.
Quasi-local energy-momentum and angular momentum in general relativity.
Quasi-local energy-momentum and the Sen geometry of two-surfaces
We review the main ideas of the two dimensional Sen geometry and apply these concepts i. in finding the `most natural' quasi-local energy-momentum, ii. in characterizing the zero energy-momentum and zero mass configurations and iii. in finding the quasi-local radiative modes of general relativity.
Quasi-normal modes of stars and black holes.
Recursions of symmetry orbits and reduction without reduction.
Regularity and geometric properties of solutions of the Einstein-Vacuum equations
We review recent results concerning the study of rough solutions to the initial value problem for the Einstein vacuum equations expressed relative to wave coordinates. We develop new analytic methods based on Strichartz type inequalities which results in a gain of half a derivative relative to the classical result. Our methods blend paradifferential techniques with a geometric approach to the derivation of decay estimates. The latter allows us to take full advantage of the specific structure of...
Relativistic and nonrelativistic elastodynamics with small shear strains
Relativistic short range phenomena and space-time aspects of pulse measurements.
Relativistic significance of curvature tensors.
Relativity in the global positioning system.
Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system.
Résolution des équations aux connexions du cas antisymétrique de la théorie unitaire hypercomplexe. Application à un principe variationnel
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...