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GENERALIZED SPACES OF GENERAL RELATIVITY, II [PDF]

open access: greenProceedings of the National Academy of Sciences, 1960
1. This paper is a revision of the paper with the same title which was published a year ago. The paper deals with a space of four dimensions V4 of coordinates xi as i takes the values 1 to 4. The geometry of the space is based upon the asymmetric functions gij and the asymmetric coefficients of connection Prk and upon the Einsteinm equation2 gij,k ...
Luther Pfahler Eisenhart
openalex   +6 more sources

Interaction of the axionic dark matter, dynamic aether, spinor and gravity fields as an origin of oscillations of the fermion effective mass

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
In the framework of the Einstein–Dirac-axion-aether theory we consider the quartet of self-interacting cosmic fields, which includes the dynamic aether, presented by the unit timelike vector field, the axionic dark mater, described by the pseudoscalar ...
Alexander B. Balakin, Anna O. Efremova
doaj   +1 more source

Strains in general relativity [PDF]

open access: yesClassical and Quantum Gravity, 2006
25 pages, 7 figures; published ...
Bini D, de Felice F, Geralico A
openaire   +7 more sources

Determinism and General Relativity [PDF]

open access: yesPhilosophy of Science, 2021
We investigate the fate of determinism in general relativity (GR), comparing the philosopher’s account with the physicist’s well-posed initial value formulations. The fate of determinism is interwoven with the question of what it is for a spacetime to be ‘physically reasonable’.
Chris Smeenk, Christian Wuthrich
openaire   +3 more sources

New application of the Killing vector field formalism: modified periodic potential and two-level profiles of the axionic dark matter distribution

open access: yesEuropean Physical Journal C: Particles and Fields, 2020
We consider the structure of halos of the axionic dark matter, which surround massive relativistic objects with static spherically symmetric gravitational field and monopole-type magneto-electric fields.
Alexander B. Balakin, Dmitry E. Groshev
doaj   +1 more source

Is the Axionic Dark Matter an Equilibrium System?

open access: yesUniverse, 2020
We consider an axionic dark matter model with a modified periodic potential for the pseudoscalar field in the framework of the axionic extension of the Einstein-aether theory.
Alexander B. Balakin   +1 more
doaj   +1 more source

Towards Multifractality through an Ernst-Type Potential in Complex Systems Dynamics

open access: yesEntropy, 2023
Some possible correspondences between the Scale Relativity Theory and the Space–Time Theory can be established. Since both the multifractal Schrödinger equation from the Scale Relativity Theory and the General Relativity equations for a gravitational ...
Vlad Ghizdovat   +5 more
doaj   +1 more source

Spontaneous Color Polarization as A Modus Originis of the Dynamic Aether

open access: yesUniverse, 2020
We suggest the phenomenological model of emergence of the dynamic aether as a result of decay of the SU(N) symmetric field configuration containing the multiplet of vector fields.
Alexander Balakin, Gleb Kiselev
doaj   +1 more source

Self-force and radiation reaction in general relativity [PDF]

open access: yesReports on progress in physics. Physical Society, 2018
The detection of gravitational waves from binary black-hole mergers by the LIGO–Virgo Collaboration marks the dawn of an era when general-relativistic dynamics in its most extreme manifestation is directly accessible to observation.
L. Barack, A. Pound
semanticscholar   +1 more source

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