Details
| Original language | English |
|---|---|
| Article number | 044028 |
| Journal | Physical Review D |
| Volume | 109 |
| Issue number | 4 |
| Publication status | Published - 14 Feb 2024 |
| Externally published | Yes |
Abstract
Geodesy in a Newtonian framework is based on the Newtonian gravitational potential. The general-relativistic gravitational field, however, is not fully determined by a single potential. The vacuum field around a stationary source can be decomposed into two scalar potentials and a tensorial spatial metric, which together serve as the basis for general-relativistic geodesy. One of the scalar potentials is a generalization of the Newtonian potential while the second one describes the influence of the rotation of the source on the gravitational field for which no nonrelativistic counterpart exists. In this paper the operational realizations of these two potentials, and also of the spatial metric, are discussed. For some analytically given spacetimes the two potentials are exemplified and their relevance for practical geodesy on Earth is outlined.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review D, Vol. 109, No. 4, 044028, 14.02.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Potentials for general-relativistic geodesy
AU - Lämmerzahl, Claus
AU - Perlick, Volker
N1 - Publisher Copyright: © 2024 American Physical Society.
PY - 2024/2/14
Y1 - 2024/2/14
N2 - Geodesy in a Newtonian framework is based on the Newtonian gravitational potential. The general-relativistic gravitational field, however, is not fully determined by a single potential. The vacuum field around a stationary source can be decomposed into two scalar potentials and a tensorial spatial metric, which together serve as the basis for general-relativistic geodesy. One of the scalar potentials is a generalization of the Newtonian potential while the second one describes the influence of the rotation of the source on the gravitational field for which no nonrelativistic counterpart exists. In this paper the operational realizations of these two potentials, and also of the spatial metric, are discussed. For some analytically given spacetimes the two potentials are exemplified and their relevance for practical geodesy on Earth is outlined.
AB - Geodesy in a Newtonian framework is based on the Newtonian gravitational potential. The general-relativistic gravitational field, however, is not fully determined by a single potential. The vacuum field around a stationary source can be decomposed into two scalar potentials and a tensorial spatial metric, which together serve as the basis for general-relativistic geodesy. One of the scalar potentials is a generalization of the Newtonian potential while the second one describes the influence of the rotation of the source on the gravitational field for which no nonrelativistic counterpart exists. In this paper the operational realizations of these two potentials, and also of the spatial metric, are discussed. For some analytically given spacetimes the two potentials are exemplified and their relevance for practical geodesy on Earth is outlined.
UR - http://www.scopus.com/inward/record.url?scp=85187244520&partnerID=8YFLogxK
U2 - 10.1103/physrevd.109.044028
DO - 10.1103/physrevd.109.044028
M3 - Article
VL - 109
JO - Physical Review D
JF - Physical Review D
SN - 2470-0029
IS - 4
M1 - 044028
ER -