Please solve all these questions

In General Relativity ( Minkowski line element)

Q2: 1 dp,2 ds? Find ITP dcosht dt sinh (i) Show that the Minkowski metric transform under the Rindler coordinates, ct = sinh 7 and 2 = cosht, where p = a/c, and a is the proper acceleration of the observer, into -dy dz (Note that cosh, and cosh?r - sinh? = 1.) (ii) In the Robertson-Walker metric, ds2 = c+dt? - a (+ r(202 + sin? O dip?)), where a = alt) is the scale factor, and k is a constant, find (iii) Show that the Weyl tensor, Cupo = Rupa-Ro-900 Rp - Rou+quo Rou) + R(9gov - 9009p), is traceless (trace-free). d slut I dy T- dr2 10