Ernst equation and spheroidal coordinates with a cosmological constant term

Details Ernst equation and spheroidal coordinates with a cosmological constant term Ernst equation and spheroidal coordinates with a cosmological constant term

2007-10-02

arxiv.org/abs/0710.0472v1

J.Phys.Conf.Ser.68:012007,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, no figures, some additional results to gr-qc/0610091. Prepared for 12th Conference on Recent Developments in Gravity

Scientific paper

10.1088/1742-6596/68/1/012007

We discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant. Using the recently found extended form of Ernst's complex equation, which takes into account the cosmological constant term, we propose an extension of spheroidal coordinates adapted to asymptotically de-Sitter and anti de-Sitter static spacetimes. In the absence of a cosmological constant we show in addition that any higher dimensional metric parametrised by a single angular momentum can be given by a 4 dimensional solution and Weyl potentials parametrising the extra Killing directions. We explicitly show how a stationary, and a static axially symmetric spacetime solution in 4 dimensions, can be {\it added} together to give a 5 dimensional stationary and axisymmetric solution.

Affiliated with

Also associated with

No associations

Rating

Ernst equation and spheroidal coordinates with a cosmological constant term does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ernst equation and spheroidal coordinates with a cosmological constant term, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ernst equation and spheroidal coordinates with a cosmological constant term will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-7069