Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Yakov Itin"'
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 78, Iss 11, Pp 1-23 (2018)
Abstract 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 linear constitutive law. We create a Tonti diagram of TG in
Externí odkaz:
https://doaj.org/article/6f49b0a9dd3b455eb7abf98cf341560f
Autor:
Yakov Itin
Publikováno v:
Journal of Physics: Conference Series. 2482:012007
Finsler’s geometry usually describes an extension of Riemmann’s geometry into a direction-dependent geometric structure. Historically, the well-known Riemann’s quartic length element example served as the inspiration for this construction. Surp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d21df45017592efed8bdc9783d21f49b
https://doi.org/10.1088/1742-6596/2482/1/012007
https://doi.org/10.1088/1742-6596/2482/1/012007
Publikováno v:
The Fifteenth Marcel Grossmann Meeting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::da22f1a3263847dad6e8109aecf344b3
https://doi.org/10.1142/9789811258251_0086
https://doi.org/10.1142/9789811258251_0086
Autor:
Yakov Itin
Publikováno v:
Mathematics and Mechanics of Solids. 25:1873-1895
In linear elasticity, a fourth-order elasticity (stiffness) tensor of 21 independent components completely describes deformation properties elastic constants of a material. The main goal of the current work is to derive a compact matrix representatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b66d2b9afa02701699ea1857837cf804
https://doi.org/10.1177/1081286520913596
https://doi.org/10.1177/1081286520913596
Autor:
Yakov Itin, Shulamit Reches
Third-order tensors are widely used as a mathematical tool for modeling the physical properties of media in solid-state physics. In most cases, they arise as constitutive tensors of proportionality between basic physical quantities. The constitutive
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2afd8ee2c5e03032f98b76903072be12
Autor:
Yakov Itin
Publikováno v:
Journal of Elasticity. 125:39-62
We study the quadratic invariants of the elasticity tensor in the framework of its unique irreducible decomposition. The key point is that this decomposition generates the direct sum reduction of the elasticity tensor space. The corresponding subspac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::992d83c7580080b9afa5a683ee5dcc3f
https://doi.org/10.1007/s10659-016-9569-2
https://doi.org/10.1007/s10659-016-9569-2
In general relativity (GR), the metric tensor of spacetime is essential since it represents the gravitational potential. In other gauge theories (such as electromagnetism), the so-called premetric approach succeeds in separating the purely topologica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5ed5bcd753b8e0e9fc1a7c115bccc18f
http://arxiv.org/abs/1611.05759
http://arxiv.org/abs/1611.05759
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 successfully applied this idea to Newton's gravitostatics and to Maxwell's elect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::317aaab051e19047520fffc4880cc9b4
Autor:
Yakov Itin
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 15:1840002
The premetric formalism is an alternative representation of a classical field theory in which the field equations are formulated without the spacetime metric. Only the constitutive relations between the basic field variables can involve the metric of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::206bdf77c497ddb9a06ecb6a23f4df8a
https://doi.org/10.1142/s0219887818400029
https://doi.org/10.1142/s0219887818400029
Autor:
Yakov Itin
Electrodynamics with a local and linear constitutive law is used as a framework for models violating Lorentz covariance. The constitutive tensor of such a construction is irreducibly decomposed into three independent pieces. The principal part is the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0ff82802d20d0035928399338514393
http://arxiv.org/abs/1511.01840
http://arxiv.org/abs/1511.01840