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

127 citations

Showing 2016Show all

8 papers · 1 filter

math.NA2016

Splitting schemes for unsteady problems involving the grad-div operator

Peter Minev, Petr N. Vabishchevich

In this paper we consider various splitting schemes for unsteady problems containing the grad-div operator. The fully implicit discretization of such problems would yield at each t…

gr-qc2016★ 37 cited

Manifestations of the rotation and gravity of the Earth in high-energy physics experiments

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

The inertial (due to rotation) and gravitational fields of the Earth affect the motion of an elementary particle and its spin dynamics. This influence is not negligible and should…

gr-qc2016★ 39 cited

On Kottler's path: origin and evolution of the premetric program in gravity and in electrodynamics

Friedrich W. Hehl, Yakov Itin, Yuri N. Obukhov

In 1922, Kottler put forward the program to remove the gravitational potential, the metric of spacetime, from the fundamental equations in physics as far as possible. He successful…

nucl-th2016★ 15 cited

Magnetic hyperfine structure of the ground-state doublet in highly charged ions Th and the Bohr-Weisskopf effect

E. V. Tkalya, A. V. Nikolaev

The magnetic hyperfine (MHF) structure of the (0.0 eV) ground state and the low-lying (7.8 eV) isomeric state of the Th nucleus in highly charged ions Th$^{89…

math.NA2016★ 2 cited

Iterative computational identification of a spacewise dependent the source in a parabolic equations

Petr N. Vabishchevich

Coefficient inverse problems related to identifying the right-hand side of an equation with use of additional information is of interest among inverse problems for partial differen…

gr-qc2016

Dynamics of test bodies in scalar-tensor theory and equivalence principle

Yuri N. Obukhov, Dirk Puetzfeld

How do test bodies move in scalar-tensor theories of gravitation? We provide an answer to this question on the basis of a unified multipolar scheme. In particular, we give the expl…