Hamiltonians and canonical coordinates for spinning particles in curved space-time
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F19%3A00519763" target="_blank" >RIV/67985815:_____/19:00519763 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1361-6382/ab002f" target="_blank" >https://doi.org/10.1088/1361-6382/ab002f</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1361-6382/ab002f" target="_blank" >10.1088/1361-6382/ab002f</a>
Alternative languages
Result language
angličtina
Original language name
Hamiltonians and canonical coordinates for spinning particles in curved space-time
Original language description
The spin-curvature coupling as captured by the so-called Mathisson–Papapetrou–Dixon (MPD) equations is the leading order effect of the finite size of a rapidly rotating compact astrophysical object moving in a curved background. It is also a next-to-leading order effect in the phase of gravitational waves emitted by extreme-mass-ratio inspirals (EMRIs), which are expected to become observable by the LISA space mission. Additionally, exploring the Hamiltonian formalism for spinning bodies is important for the construction of the so-called effective-one-body waveform models that should eventually cover all mass ratios.nThe MPD equations require supplementary conditions determining the frame in which the moments of the body are computed. We review various choices of these supplementary spin conditions and their properties. Then, we give Hamiltonians either in proper-time or coordinate-time parametrization for the Tulczyjew-Dixon, Mathisson-Pirani, and Kyrian-Semerak conditions. Finally, we also give canonical phase-space coordinates parametrizing the spin tensor. We demonstrate the usefulness of the canonical coordinates for symplectic integration by constructing Poincare surfaces of section for spinning bodies moving in the equatorial plane in Schwarzschild space-time. We observe the motion to be essentially regular for EMRI-ranges of the spin, but for larger values the Poincare surfaces of section exhibit the typical structure of a weakly chaotic system. A possible future application of the numerical integration method is the inclusion of spin effects in EMRIs at the precision requirements of LISA.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - 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)
Result continuities
Project
<a href="/en/project/GJ17-06962Y" target="_blank" >GJ17-06962Y: Non-linear phenomena in a multi-channel astronomy of black holes</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Classical and Quantum Gravity
ISSN
0264-9381
e-ISSN
1361-6382
Volume of the periodical
36
Issue of the periodical within the volume
7
Country of publishing house
GB - UNITED KINGDOM
Number of pages
31
Pages from-to
075003
UT code for WoS article
000460058600003
EID of the result in the Scopus database
2-s2.0-85064067618