S Bonanos 1992 Class. Quantum Grav. 9 697 doi:10.1088/0264-9381/9/3/011
S Bonanos
Show affiliationsIntroduces a class of spacetimes in which the metric tensor can be expressed covariantly in terms of the Minkowski metric and two vector fields, orthogonal to each other. It is shown that, when certain covariantly defined components of the Einstein tensor vanish ('main equations'), the remaining components satisfy a true conservation law. The author also obtains the conditions under which a solution of the linearized main equations is a solution of the full main equations. Several simple solutions to these equations-among them the Schwarzschild solution-are obtained. It is argued that these extra conditions are not overly restrictive and that physically interesting vacuum solutions may be obtained by the use of the proposed ansatz.
04.20.Gz Spacetime topology, causal structure, spinor structure
04.25.Nx Post-Newtonian approximation; perturbation theory; related approximations
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
83C40 Gravitational energy and conservation laws; groups of motions
Issue 3 (March 1992)
S Bonanos 1992 Class. Quantum Grav. 9 697
S Bonanos 2007 J. Phys.: Conf. Ser. 68 012048
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