The gravitational dipole and explicit multipole moments of static axisymmetric spacetimes

• The multipole moments of static axisymmetric asymptotically flat spacetimes are considered. The usual set of recursively defined tensors is replaced with one real-valued function m defined on R+ ∪ {0}, where the moments are given by the derivatives of m at 0. As examples of applications, we show that the Schwarzschild spacetime is the gravitational monopole and derive the metric for the gravitational dipole.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

dipole

multipole moments

MATHEMATICS

MATEMATIK

Publikations- och innehållstyp

ref (ämneskategori)

art (ämneskategori)