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Gravitational Multipoles in General Stationary Spacetimes
by Daniel R. Mayerson
This is not the latest submitted version.
Submission summary
| Authors (as registered SciPost users): | Daniel R. Mayerson |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2210.05687v1 (pdf) |
| Date submitted: | Dec. 19, 2022, 2:21 p.m. |
| Submitted by: | Daniel R. Mayerson |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
The Geroch-Hansen and Thorne (ACMC) formalisms give rigorous and equivalent definitions for gravitational multipoles in stationary vacuum spacetimes. However, despite their ubiquitous use in gravitational physics, it has not been shown that these formalisms generalize to non-vacuum stationary solutions, except in a few special cases. This short letter fills this gap and shows how the Geroch-Hansen formalism can be generalized to arbitrary non-vacuum stationary spacetimes, for metrics that are sufficiently smooth at infinity and under a mild topological condition on the spacetime (which is automatically satisfied for black holes). The proof of equivalence between the Geroch-Hansen and Thorne formalisms, hitherto only established for stationary vacuum spacetimes, is similarly generalized to arbitrary stationary spacetimes.
Current status:
Reports on this Submission
Strengths
1- Well written 2- Interesting Idea
Weaknesses
2 - No example is given
Report
Requested changes
Please see the attached file.
Anonymous on 2023-01-22 [id 3258]
There was an error in the equation at the end of the referee report. This invalidates the last comment of the referee report and therefor it can be discarded.
The attached file is an updated report.
Attachment:
SciPost_Mayerson.pdf