(adsbygoogle = window.adsbygoogle || []).push({}); Hard General Relativity question, help :(!?

I cannot come up with a solution to the following, can some one please help me? I would greatly apprecieate it!! Thank you!

Question 1

The Kretschmann curvature scalar is defined to be K = R_abcdR^abcd where Rabcd is the Riemann tensor. Compute the Kretschmann scalar for each of the following solutions of Einsteinâ€™s equtions:

(a) Schwarzschild exterior (vacuum) solution

(b) Schwarzschild interior (constant density) solution

(c) Friedman-LeMaitre-Robertson-Walker solution

In each case, express the Kretschmann scalar both in terms of the quantities occurring in the metric tensor, and in terms of the physical quantities that occur in the energy-momentum tensor, where possible.

Question 2

Describe the conditions under which a singularity exists, and the nature of the singularity for each of the solutions that you considered in problem 1 for the Kretschmann scalar. Ensure that you describe the appropriate physics in each case. Where possible, relate your conclusions to conclusions reached by other lines of argument for these metrics.

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# Homework Help: Hard General Relativity question, help ?

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