35 citations · 421 across the 77 of their papers we have counts for
12 papers · 1 filter
Caustics type of gravitational singularities
G. A. Sardanashvily, E. G. Timoshenko
We describe a new type of gravitational singularities which are caustics of spatial-temporal foliations. An example of gravitational wave solution forming a singularity with causti…
Gauge model of the fifth force
G. A. Sardanashvily, E. G. Timoshenko
The Lagrangian and equations of the gauge model of the fifth fundamental interaction are constructed and the corresponding corrections to the Newtonian potential are obtained.
Geometric quantization of relativistic Hamiltonian mechanics
G. Sardanashvily
A relativistic Hamiltonian mechanical system is seen as a conservative Dirac constraint system on the cotangent bundle of a pseudo-Riemannian manifold. We provide geometric quantiz…
On the geometric foundation of classical gauge gravitation theory
G. Sardanashvily
A number of recent works in E-print arXiv have addressed the foundation of gauge gravitation theory again. As is well known, differential geometry of fibre bundles provides the ade…
Energy-Momentum and Gauge Conservation Laws
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We treat energy-momentum conservation laws as particular gauge conservation laws when generators of gauge transformations are horizontal vector fields on fibre bundles. In particul…
Energy-Momentum in Gauge Gravitation Theory
G. Sardanashvily, K. Kirillov
Building on the first variational formula of the calculus of variations, one can derive the energy-momentum conservation laws from the condition of the Lie derivative of gravitatio…
Stress-Energy-Momentum of Affine-Metric Gravity. Generalized Komar Superportential
G. Giachetta, G. Sardanashvily
In case of the Einstein's gravitation theory and its first order Palatini reformulation, the stress-energy-momentum of gravity has been proved to reduce to the Komar superpotential…
Stress-Energy-Momentum Tensors in Lagrangian Field Theory. Part 1. Superpotentials
G. Giachetta, G. Sardanashvily
Differential conservation laws in Lagrangian field theory are usually related to symmetries of a Lagrangian density and are obtained if the Lie derivative of a Lagrangian density b…
Fermions in Gravitation Theory
G. Sardanashvily
In gravitation theory, a fermion field must be regarded only in a pair with a certain tetrad gravitational field. These pairs can be represented by sections of the composite spinor…
Stress-Energy-Momentum Tensors in Constraint Field Theories
G. Sardanashvily
One has not any conventional energy-momentum conservation law in Lagrangian field theory, but relations involving different stress-energy-momentum tensors associated with different…
Gauge Gravitation Theory. What is the Geometry of the World?
G. Sardanashvily
When joined the unified gauge picture of fundamental interactions, the gravitation theory leads to geometry of a space-time which is far from simplicity of pseudo-Riemannian geomet…
Gravity as a Higgs Field. I.the Geometric Equivalence Principle
G. Sardanashvily
{\it If gravity is a metric field by Einstein, it is a Higgs field.} Gravitation theory meets spontaneous symmetry breaking in accordance with the Equivalence Principle reformulate…