The Newtonian limit of spacetimes for accelerated particles and black holes
Bičák J.; Kofroň D.
Solutions of vacuum Einstein’s field equations describing uniformly accelerated particles or black holes belong to the class of boostrotation symmetric spacetimes. They are the only explicit solutions known which represent moving finite objects. Their Newtonian limit is analyzed using the Ehlers frame theory. Generic spacetimes with axial and boost symmetries are first studied from the Newtonian perspective. The results are then illustrated by specific examples such as Cmetric, Bonnor–Swaminarayan solutions, selfaccelerating “dipole particles”, and generalized boostrotation symmetric solutions describing freely falling particles in an external field. In contrast to some previous discussions, our results are physically plausible in the sense that the Newtonian limit corresponds to the fields of classical point masses accelerated uniformly in classical mechanics. This corroborates the physical significance of the boostrotation symmetric spacetimes.
typ:  article 
journal:  Gen. Rel. Grav. 
volume:  41 
nr:  1 
pages:  153172 
year:  2009 
month:  1 
eprint:  arXiv:0901.3971v1 
odkaz: 
http://www.springerlink.com/content/87826584688308w2/

grant:  Současné problémy obecné relativity a gravitace, GAČR 202/06/0041, 20062008; Centrum teoretické astrofyziky, MŠMT ČR LC06014, 20052009; Fyzikální studium objektů a procesů ve sluneční soustavě a v astrofyzikálních systémech, výzkumný záměr MSM0021620860, 20072013 