Adiabatic theory in Kerr spacetimes

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Adiabatic theory in Kerr spacetimes

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Adiabatic theory in Kerr spacetimes

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

General Relativity and Gravitation

ISSN

0001-7701

e-ISSN

—

Svazek periodika

56

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

25

Strana od-do

„67-1“-„67-25“

Kód UT WoS článku

001232492500001

EID výsledku v databázi Scopus

2-s2.0-85194575586