Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-10-10
J.Phys.Conf.Ser.66:012024,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2, 10 pages, minor change, two more references, published version. Extended version of talk given at ERE2006, Palma de Mallor
Scientific paper
10.1088/1742-6596/66/1/012024
In d+1 dimensions we solve the equations of motion for the case of gravity minimally or conformally coupled to a scalar field. For the minimally coupled system the equations can either be solved directly or by transforming vacuum solutions, as shown before in 3+1 dimensions by Buchdahl. In d+1 dimensions the solutions have been previously found directly by Xanthopoulos and Zannias. Here we first rederive these earlier results, and then extend Buchdahl's method of transforming vacuum solutions to d+1 dimensions. We also review the conformal coupling case, in which d+1 dimensional solutions can be found by extending Bekenstein's method of conformal transformation of the minimal coupling solution. Combining the extended versions of Buchdahl transformations and Bekenstein transformations we can in arbitrary dimensions always generate solutions of both the minimal and the conformal equations from known vacuum solutions.
Ravndal Finn
Wehus Ingunn Kathrine
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