Potentials for general-relativistic geodesy

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • Claus Lämmerzahl
  • Volker Perlick

Externe Organisationen

  • Zentrum für angewandte Raumfahrt­technologie und Mikro­gravitation (ZARM)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer044028
FachzeitschriftPhysical Review D
Jahrgang109
Ausgabenummer4
PublikationsstatusVeröffentlicht - 14 Feb. 2024
Extern publiziertJa

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.

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Potentials for general-relativistic geodesy. / Lämmerzahl, Claus; Perlick, Volker.
in: Physical Review D, Jahrgang 109, Nr. 4, 044028, 14.02.2024.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Lämmerzahl C, Perlick V. Potentials for general-relativistic geodesy. Physical Review D. 2024 Feb 14;109(4):044028. doi: 10.1103/physrevd.109.044028
Lämmerzahl, Claus ; Perlick, Volker. / Potentials for general-relativistic geodesy. in: Physical Review D. 2024 ; Jahrgang 109, Nr. 4.
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