output
19932025
most citedThe renormalization group for non-renormalizable theories: Einstein gravity with a scalar field

127 citations

Showing 2014Show all

10 papers · 1 filter

math.NA2014

Numerical solution of nonstationary problems for a space-fractional diffusion equation

Petr N. Vabishchevich

An unsteady problem is considered for a space-fractional diffusion equation in a bounded domain. A first-order evolutionary equation containing a fractional power of an elliptic op…

hep-th2014★ 78 cited

Spin-torsion coupling and gravitational moments of Dirac fermions: theory and experimental bounds

Yuri N. Obukhov, Alexander J. Silenko, Oleg V. Teryaev

We discuss the quantum dynamics of the Dirac fermion particle in a gauge gravitational field. The minimal as well as the Pauli-type nonminimal coupling of a fermion with external f…

gr-qc2014★ 85 cited

Motion of spinning test bodies in Kerr spacetime

Eva Hackmann, Claus Lämmerzahl, Yuri N. Obukhov +2

We investigate the motion of spinning test bodies in General Relativity. By means of a multipolar approximation method for extended test bodies we derive the equations of motion, a…

gr-qc2014★ 28 cited

Equations of motion in metric-affine gravity: A covariant unified framework

Dirk Puetzfeld, Yuri N. Obukhov

We derive the equations of motion of extended deformable bodies in metric-affine gravity. The conservation laws which follow from the invariance of the action under the general coo…

gr-qc2014★ 53 cited

Conservation laws in gravity: A unified framework

Yuri N. Obukhov, Dirk Puetzfeld

We study general metric-affine theories of gravity in which the metric and connection are the two independent fundamental variables. In this framework, we use Lagrange-Noether meth…

gr-qc2014★ 33 cited

Prospects of detecting spacetime torsion

Dirk Puetzfeld, Yuri N. Obukhov

How to detect spacetime torsion? In this essay we provide the theoretical basis for an answer to this question. Multipolar equations of motion for a very general class of gravitati…