%0 Generic %1 krasnov2009plebanski %A Krasnov, Kirill %D 2009 %K hep-th %R 10.1007/s10714-010-1061-x %T Plebanski Formulation of General Relativity: A Practical Introduction %U http://arxiv.org/abs/0904.0423 %X We give a pedagogical introduction into an old, but unfortunately not commonly known formulation of GR in terms of self-dual two-forms due to in particular Jerzy Plebanski. Our presentation is rather explicit in that we show how the familiar textbook solutions: Schwarzschild, Volkoff-Oppenheimer, as well as those describing the Newtonian limit, a gravitational wave and the homogeneous isotropic Universe can be obtained within this formalism. Our description shows how Plebanski formulation gives quite an economical alternative to the usual metric and frame-based schemes for deriving Einstein equations.

@misc{krasnov2009plebanski, abstract = {We give a pedagogical introduction into an old, but unfortunately not commonly known formulation of GR in terms of self-dual two-forms due to in particular Jerzy Plebanski. Our presentation is rather explicit in that we show how the familiar textbook solutions: Schwarzschild, Volkoff-Oppenheimer, as well as those describing the Newtonian limit, a gravitational wave and the homogeneous isotropic Universe can be obtained within this formalism. Our description shows how Plebanski formulation gives quite an economical alternative to the usual metric and frame-based schemes for deriving Einstein equations.}, added-at = {2022-12-30T16:16:28.000+0100}, author = {Krasnov, Kirill}, biburl = {https://www.bibsonomy.org/bibtex/2e8baa503677884da29fc521a55c88b17/intfxdx}, description = {Plebanski Formulation of General Relativity: A Practical Introduction}, doi = {10.1007/s10714-010-1061-x}, interhash = {a9719b445f8e66b614fc060ce3ff894e}, intrahash = {e8baa503677884da29fc521a55c88b17}, keywords = {hep-th}, note = {cite arxiv:0904.0423Comment: (v1) 13 pages, no figures (v2) 15 pages, published version}, timestamp = {2025-01-13T10:33:25.000+0100}, title = {Plebanski Formulation of General Relativity: A Practical Introduction}, url = {http://arxiv.org/abs/0904.0423}, year = 2009 }