English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  Hamiltonians and canonical coordinates for spinning particles in curved space-time

Witzany, V., Steinhoff, J., & Lukes-Gerakopoulos, G. (2019). Hamiltonians and canonical coordinates for spinning particles in curved space-time. Classical and Quantum Gravity, 36(7): 075003. doi:10.1088/1361-6382/ab002f.

Item is

Files

show Files
hide Files
:
1808.06582.pdf (Preprint), 926KB
Name:
1808.06582.pdf
Description:
File downloaded from arXiv at 2018-08-27 09:13
OA-Status:
Visibility:
Public
MIME-Type / Checksum:
application/pdf / [MD5]
Technical Metadata:
Copyright Date:
-
Copyright Info:
-
:
Witzany+et+al_2019_Class._Quantum_Grav._10.1088_AccMan.pdf (Publisher version), 751KB
 
File Permalink:
-
Name:
Witzany+et+al_2019_Class._Quantum_Grav._10.1088_AccMan.pdf
Description:
Accepted Manuscript
OA-Status:
Visibility:
Private (embargoed till 2020-02-01)
MIME-Type / Checksum:
application/pdf
Technical Metadata:
Copyright Date:
-
Copyright Info:
-

Locators

show

Creators

show
hide
 Creators:
Witzany, Vojtěch, Author
Steinhoff, Jan1, Author           
Lukes-Gerakopoulos, Georgios, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

Content

show
hide
Free keywords: General Relativity and Quantum Cosmology, gr-qc, Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,
 Abstract: 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.
The 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-Semer\'ak 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 Poincar\'e 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 Poincar\'e 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.

Details

show
hide
Language(s):
 Dates: 2018-08-2020192019
 Publication Status: Issued
 Pages: 19 pages, 2 figures. Submitted to Phys. Rev. D
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Classical and Quantum Gravity
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: -
Pages: - Volume / Issue: 36 (7) Sequence Number: 075003 Start / End Page: - Identifier: -