A metric reproducing dark matter effects

Abstract: With the aim of avoiding the dark matter hypothesis, we consider a metric in which any stationary observer in the gravitational field assigns a constant value c to the coordinate velocity of light not only locally at his position but globally. Based on our metric, we calculate the equations of geodesic lines and Einstein's field equations and examine non-relativistic circular motions, light deflection and Shapiro time delay in radially symmetric, static gravitational fields. For the solar system and for pulsar systems, we reproduce the predictions of general relativity which are based on the Schwarzschild metric. In extended systems with galactic dimensions, however, our metric results in increased light deflection and the orbital velocities of rotating stars in galaxies become independent of the radius. This applies also for rotating, flat spiral galaxies, which we describe using our metric in cylindrical coordinates. The field equations formulated using our metric suggest the hypothesis that gravitational field energy could take the place of dark matter. Effects such as those observed in colliding galaxy clusters can be interpreted without assuming the existence of dark matter

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Classification
Physik
Keyword
Dunkle Materie

Event
Veröffentlichung
(where)
Freiburg
(who)
Universität
(when)
2023
Creator
Contributor

DOI
10.6094/UNIFR/234222
URN
urn:nbn:de:bsz:25-freidok-2342227
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:44 AM CEST

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Associated

Time of origin

  • 2023

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