Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

General Relativity and Quantum Cosmology

arXiv:gr-qc/0701081 (gr-qc)
[Submitted on 15 Jan 2007 (v1), last revised 6 Feb 2007 (this version, v2)]

Title:Slowly Rotating Homogeneous Stars and the Heun Equation

Authors:David Petroff
View PDF
Abstract: The scheme developed by Hartle for describing slowly rotating bodies in 1967 was applied to the simple model of constant density by Chandrasekhar and Miller in 1974. The pivotal equation one has to solve turns out to be one of Heun's equations. After a brief discussion of this equation and the chances of finding a closed form solution, a quickly converging series solution of it is presented. A comparison with numerical solutions of the full Einstein equations allows one to truncate the series at an order appropriate to the slow rotation approximation. The truncated solution is then used to provide explicit expressions for the metric.
Comments: 16 pages, uses document class iopart, v2: minor corrections
Subjects: General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:gr-qc/0701081
  (or arXiv:gr-qc/0701081v2 for this version)
  https://doi.org/10.48550/arXiv.gr-qc/0701081
Journal reference: Class.Quant.Grav.24:1055-1068,2007
Related DOI: https://doi.org/10.1088/0264-9381/24/5/003

Submission history

From: D. Petroff [view email]
[v1] Mon, 15 Jan 2007 14:49:05 UTC (23 KB)
[v2] Tue, 6 Feb 2007 14:23:47 UTC (23 KB)
Full-text links:

Access Paper:

view license
Current browse context:
gr-qc
< prev   |   next >
new | recent | 2007-01

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)