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

Result code in 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>

Alternative codes found

RIV/47813059:19630/25:A0000433

Result on the web

<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>

Result language

angličtina

Original language name

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

Original language description

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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

<a href="/en/project/GN25-15272I" target="_blank" >GN25-15272I: Gravitational waves from an extended body with a spin-induced quadrupole</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

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

Name of the periodical

Physical Review D

ISSN

2470-0010

e-ISSN

2470-0029

Volume of the periodical

112

Issue of the periodical within the volume

6

Country of publishing house

US - UNITED STATES

Number of pages

21

Pages from-to

064013

UT code for WoS article

001569702200009

EID of the result in the Scopus database

2-s2.0-105020935528