Difficulties in the Computation of the Kretschmann scalar

AI Thread Summary
The discussion focuses on the challenges of computing the Kretschmann scalar, particularly in the context of the Schwarzschild metric, without the aid of software. The original poster seeks references that outline the computation steps and suggest how to leverage the symmetries of the Riemann tensor to simplify the process by identifying only the non-zero components. A helpful link is provided to a resource that discusses counting the independent components of the Riemann tensor. The conversation emphasizes the need for clear methodologies to tackle the complexities involved in this computation. Overall, the thread highlights a collaborative effort to address specific difficulties in advanced theoretical physics calculations.
Hamilton
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Hello,
Thanks to all of you for the help that you provide so that we can move forward.

I need help about the computation of the Kretschmann scalar without using software, I face to some difficulties on its computation for instance in the case of Schwarzschild metric. Could some one help me with some reference containing the steps of this computation, and how use properties of symmetries of the Riemann tensor to avoid the computation of all its 256 components but only the non zeros components.
Thank you
 
Physics news on Phys.org
This might help
http://physicspages.com/2014/04/06/riemann-tensor-counting-independent-components/
 

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