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Is there any coordinate tetrad in spacetime except Cartesian basis ?

since tetrad basis should be orthogonal (( In Lorentzian description ))and the only orthogonal basis is Cartesian ( the metric is (+1,-1,-1,-1 ) but in any other coordinate basis like Spherical metric is ( +1,-1,-r,-rsino ) and they aren't coordiante tetrad .

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# Coordinate tetrads

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