Adiabatic theory in Kerr spacetimes
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F24%3AA0000399" target="_blank" >RIV/47813059:19630/24:A0000399 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10714-024-03255-3" target="_blank" >https://link.springer.com/article/10.1007/s10714-024-03255-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10714-024-03255-3" target="_blank" >10.1007/s10714-024-03255-3</a>
Alternative languages
Result language
angličtina
Original language name
Adiabatic theory in Kerr spacetimes
Original language description
We outline the essential features of the adiabatic theory and demonstrate how test particle motion in general relativity may be investigated using it. The theory relies on adiabatic invariants and vector elements of the orbits. We derive a specific representation of the Kerr metric in harmonic coordinates, which enables us to obtain a general formula for the perihelion shift of test particles orbiting on the non-equatorial plane of a rotating central object. This proves the applicability of the adiabatic theory in Einstein's gravity. We demonstrate that, for the individual effects of the gravitational source mass and angular momentum up to the second order, the principle of superposition is satisfied. We show that, in addition to its simplicity, the adiabatic theory produces correct results that, in the limiting cases, correspond to the ones reported in the literature.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
General Relativity and Gravitation
ISSN
0001-7701
e-ISSN
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Volume of the periodical
56
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
25
Pages from-to
„67-1“-„67-25“
UT code for WoS article
001232492500001
EID of the result in the Scopus database
2-s2.0-85194575586