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

127 citations

Showing gr-qcShow all

60 papers · 1 filter

gr-qc2024★ 6 cited

Violating Lorentz invariance minimally by the emergence of nonmetricity? A Perspective

Yuri N. Obukhov, Friedrich W. Hehl

Lorentz invariance belongs to the fundamental symmetries of nature. It is basic for the successful Standard Model of Particle Physics. Nevertheless, within the last decades, Lorent…

gr-qc2024★ 6 cited

Spacetime geometry from Dirac spinor theory

Yuri N. Obukhov, G. E. Volovik

The quintet of Dirac matrices suggests that the fundamental dimension of the internal (spin) space is , instead of the conventional dimension . Then extending…

gr-qc2023★ 6 cited

Hyperfluid model revisited

Yuri N. Obukhov, Friedrich W. Hehl

A new variational theory of a hyperfluid is constructed which is free of the supplementary condition issue and provides a consistent model of the classical matter source in the met…

gr-qc2023★ 2 cited

Spin-Gravity Coupling in a Rotating Universe

Bahram Mashhoon, Masoud Molaei, Yuri N. Obukhov

The coupling of intrinsic spin with the nonlinear gravitomagnetic fields of Goedel-type spacetimes is studied. We work with Goedel-type universes in order to show that the main fea…

gr-qc2022★ 4 cited

Search for manifestations of spin-torsion coupling

Mariya Iv. Trukhanova, Pavel Andreev, Yuri N. Obukhov

We investigate the axial vector torsion-spin coupling effects in the framework of the Poincaré gauge theory of gravity with the general Yang-Mills type Lagrangian. The dynamical eq…

gr-qc2022★ 4 cited

On parity-odd sector in metric-affine theories

Jose Beltrán Jiménez, Alejandro Jiménez-Cano, Yuri N. Obukhov

We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linea…

gr-qc2022★ 2 cited

Conservation laws in gauge gravity theory

Yuri N. Obukhov

We analyse the conservation laws in the gauge gravity theory which are derived for the general class of gravitational models with the action invariant under the local Poincare and…

gr-qc2021★ 16 cited

Gravitomagnetic Helicity

Donato Bini, Bahram Mashhoon, Yuri N. Obukhov

Mass currents in astrophysics generate gravitomagnetic fields of enormous complexity. Gravitomagnetic helicity, in direct analogy with magnetic helicity, is a measure of entwining…

gr-qc2021★ 17 cited

Demystifying autoparallels in alternative gravity

Yuri N. Obukhov, Dirk Puetzfeld

Autoparallel curves along with geodesic curves can arise as trajectories of physical test bodies. We explicitly derive autoparallels as effective post-Riemannian geometric construc…

gr-qc2020★ 6 cited

Parity violation in Poincaré gauge gravity

Yuri N. Obukhov

We analyse the parity violation issue in the Poincaré gauge theory of gravity for the two classes of models which are built as natural extensions of the Einstein-Cartan theory. The…

gr-qc2020★ 12 cited

Gravitational waves in metric-affine gravity theory

Alejandro Jiménez-Cano, Yuri N. Obukhov

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invar…

gr-qc2020★ 23 cited

Generalized Birkhoff theorem in the Poincaré gauge gravity theory

Yuri N. Obukhov

The analysis of the validity of Birkhoff's theorem about the uniqueness of the spherically symmetric solution of the gravitational field equations is extended to the framework of t…

gr-qc2020★ 18 cited

General relativity as a special case of Poincaré gauge gravity

Yuri N. Obukhov, Friedrich W. Hehl

We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincaré gauge theory of gravity under the assumption of a suitable nonmin…

gr-qc2019

Dynamics of classical and quantum spin in external fields: A general formalism

Yuri N. Obukhov

We study the dynamics of classical and quantum particles with spin and dipole moments in external fields within the framework of the general approach by making use of the projectio…

gr-qc2019★ 12 cited

Conservation of energy-momentum of matter as the basis for the gauge theory of gravitation

Friedrich W. Hehl, Yuri N. Obukhov

According to Yang \& Mills (1954), a {\it conserved} current and a related rigid (`global') symmetry lie at the foundations of gauge theory. When the rigid symmetry is extended to…

gr-qc2019★ 60 cited

Gauge Structure of Teleparallel Gravity

J. G. Pereira, Y. N. Obukhov

During the conference "Teleparallel Universes in Salamanca", we became aware of a recent paper [M. Fontanini, E. Huguet, and M. Le Delliou, Phys. Rev. D 99 (2019) 064006] in which…

gr-qc2019★ 28 cited

Exact Solutions in Poincaré Gauge Gravity Theory

Yuri N. Obukhov

In the framework of the gauge theory based on the Poincaré symmetry group, the gravitational field is described in terms of the coframe and the local Lorentz connection. Considered…

gr-qc2019

Operational significance of the deviation equation in relativistic geodesy

Dirk Puetzfeld, Yuri N. Obukhov

Deviation equation: Second order differential equation for the 4-vector which measures the distance between reference points on neighboring world lines in spacetime manifolds. Rela…

gr-qc2018★ 5 cited

Measuring the gravitational field in General Relativity: From deviation equations and the gravitational compass to relativistic clock gradiometry

Yuri N. Obukhov, Dirk Puetzfeld

How does one measure the gravitational field? We give explicit answers to this fundamental question and show how all components of the curvature tensor, which represents the gravit…

gr-qc2018★ 27 cited

Premetric teleparallel theory of gravity and its local and linear constitutive law

Yakov Itin, Yuri N. Obukhov, Jens Boos +1

We continue to investigate the premetric teleparallel theory of gravity (TG) with the coframe (tetrad) as gravitational potential. We start from the field equations and a local and…

gr-qc2018★ 38 cited

Poincaré gauge gravity: An overview

Yuri N. Obukhov

We review the basics and the current status of the Poincaré gauge theory of gravity. The general dynamical scheme of Poincaré gauge gravity (PG) is formulated, and its physical con…

gr-qc2017★ 35 cited

Generalized plane waves in Poincaré gauge theory of gravity

Milutin Blagojević, Branislav Cvetković, Yuri N. Obukhov

A family of exact vacuum solutions, representing generalized plane waves propagating on the (anti-)de Sitter background, is constructed in the framework of Poincaré gauge theory. T…

gr-qc2017★ 40 cited

Gravitational waves in Poincaré gauge gravity theory

Yuri N. Obukhov

We derive the exact gravitational wave solutions in a general class of quadratic Poincaré gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants…

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…