Physics[Tetrads][l_] - represent the 1st null vector of the Newman-Penrose formalism
Physics[Tetrads][n_] - represent the 2nd null vector of the Newman-Penrose formalism, i.e. n_[mu] l_[mu] = 1
Physics[Tetrads][m_] - represent the 3rd null vector of the Newman-Penrose formalism, i.e. m_[mu] n_[mu] = 0, m_[mu] l_[mu] = 0
Physics[Tetrads][mb_] - represent the 4th null vector of the Newman-Penrose formalism, i.e. mb_ = conjugate(m_) and mb_[mu] m_[mu] = -1, mb_[mu] n_[mu] = 0, mb_[mu] l_[mu] = 0
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Calling Sequence
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l_[mu]
n_[mu]
m_[mu]
mb_[mu]
l_[a, matrix]
l_[keyword]
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Parameters
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_mu
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the spacetime indices related to a global system of references, these are names representing integer numbers between 0 and the spacetime dimension, they can also be the numbers themselves
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_a_
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a tetrad indices related to a local system of references, as names representing integer numbers the same way as the spacetime indices
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keyword
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optional, it can be definition, matrix, nonzero
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Examples
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>
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>
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See Also
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d_, D_, e_, eta_, g_, gamma_, IsTetrad, lambda_, NullTetrad, OrthonormalTetrad, Physics, Physics conventions, Physics examples, Physics Updates, Tensors - a complete guide, Mini-Course Computer Algebra for Physicists, Tetrads, TransformTetrad
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References
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Textbooks
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Landau, L.D., and Lifshitz, E.M. The Classical Theory of Fields, Course of Theoretical Physics Volume 2, fourth revised English edition. Elsevier, 1975.
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Stephani, H., Kramer, D., MacCallum, M., Hoenselaers, C. Herlt, E. Exact Solutions of Einstein's Field Equations, Cambridge Monographs on Mathematical Physics, second edition. Cambridge University Press, 2003.
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Compatibility
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The Physics[Tetrads][l_], Physics[Tetrads][n_], Physics[Tetrads][m_] and Physics[Tetrads][mb_] commands were introduced in Maple 2015.
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The Physics[Tetrads][l_], Physics[Tetrads][n_], Physics[Tetrads][m_] and Physics[Tetrads][mb_] commands were updated in Maple 2017.
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