Circular equatorial orbits of extended bodies with spin-induced quadrupole around a Kerr black hole: Comparing spin-supplementary conditions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F25%3A00639181" target="_blank" >RIV/67985815:_____/25:00639181 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/47813059:19630/25:A0000433

Výsledek na webu

<a href="https://hdl.handle.net/11104/0369909" target="_blank" >https://hdl.handle.net/11104/0369909</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/wkcy-38fh" target="_blank" >10.1103/wkcy-38fh</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Circular equatorial orbits of extended bodies with spin-induced quadrupole around a Kerr black hole: Comparing spin-supplementary conditions

Popis výsledku v původním jazyce

The worldline of an extended body in curved spacetime can be described by the Mathisson-PapapetrouDixon equations when its centroid, i.e., its center of mass, is fixed by a spin supplementary condition (SSC). Different SSC choices result in distinct worldlines. To examine the properties of these choices, we investigate the frequency of circular equatorial orbits of extended bodies within the pole-dipole-(spininduced-)quadrupole approximation moving around a Kerr black hole for the Tulzcyjew-Dixon (TD) and Mathisson-Pirani (MP) SSCs. First, we examine similarities and discrepancies in the prograde and retrograde orbital frequencies by expanding these frequencies in power series of the spin without taking into account the fact that both the position of the centroid and the spin measure change under the transition from one SSC to another. Then, by taking into account the centroid transition laws, we examine the orbital frequencies' convergence between the nonhelical MP frame and the TD frame. In particular, we demonstrate that, in analogy to the pole-dipole approximation, the transition from one circular orbit to another within the pole-dipole-(spin-induced-)quadrupole approximation under a change in the SSC, results in convergence between the SSCs only up to certain terms in the spin expansion and does not extend to the entire power series. Finally, we discuss the innermost stable circular orbits in the pole-dipole-(spin-induced-)quadrupole approximation under TD and MP SSCs.

Název v anglickém jazyce

Circular equatorial orbits of extended bodies with spin-induced quadrupole around a Kerr black hole: Comparing spin-supplementary conditions

Popis výsledku anglicky

The worldline of an extended body in curved spacetime can be described by the Mathisson-PapapetrouDixon equations when its centroid, i.e., its center of mass, is fixed by a spin supplementary condition (SSC). Different SSC choices result in distinct worldlines. To examine the properties of these choices, we investigate the frequency of circular equatorial orbits of extended bodies within the pole-dipole-(spininduced-)quadrupole approximation moving around a Kerr black hole for the Tulzcyjew-Dixon (TD) and Mathisson-Pirani (MP) SSCs. First, we examine similarities and discrepancies in the prograde and retrograde orbital frequencies by expanding these frequencies in power series of the spin without taking into account the fact that both the position of the centroid and the spin measure change under the transition from one SSC to another. Then, by taking into account the centroid transition laws, we examine the orbital frequencies' convergence between the nonhelical MP frame and the TD frame. In particular, we demonstrate that, in analogy to the pole-dipole approximation, the transition from one circular orbit to another within the pole-dipole-(spin-induced-)quadrupole approximation under a change in the SSC, results in convergence between the SSCs only up to certain terms in the spin expansion and does not extend to the entire power series. Finally, we discuss the innermost stable circular orbits in the pole-dipole-(spin-induced-)quadrupole approximation under TD and MP SSCs.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10308 - Astronomy (including astrophysics,space science)

Projekt

<a href="/cs/project/GN25-15272I" target="_blank" >GN25-15272I: Gravitační vlny z nebodového tělesa s rotaci indukovaným kvadrupólem</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Svazek periodika

112

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

21

Strana od-do

064013

Kód UT WoS článku

001569702200009

EID výsledku v databázi Scopus

2-s2.0-105020935528