, Volume 51, Issue 12, pp 2933–2948 | Cite as

Gravity in general relativity, attractive and repulsive contributions

  • Ingo Müller
  • Wolf Weiss
50th Anniversary of Meccanica


The gravitational equations of Einstein are solved for a sphere filled with a dust gas and floating in infinite empty space. It turns out that the radial acceleration of the gas has negative and positive contributions which may be interpreted as attractive and repulsive gravitational forces respectively. Two cases are considered: the collapse of a gas initially at rest and with uniform density, and the expansion of the gas with initial conditions appropriate to the observed Hubble diagram of Type Ia supernovae. The latter case may be seen as a proposal for a new type of cosmology.


General relativity Gravity Cosmology 


Compliance with ethical standards

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.TU BerlinBerlinGermany

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