Please help with this derivation. I'm a novice to GR and appreciate your prompt help. Deriving a Metric: Show that the metric for a 3-sphere (i.e. a three- dimensional sphere embedded in 4-dimensional space) of radius Reis de²= dr² + R² sin² (r/Re) (d0² + sin² 0 do²). Hint: The 3-sphere can be written as the surface w²+x² + y²

Please help with this derivation. I'm a novice to GR and appreciate your prompt help.

image

Related Book For  answer-question

Probability and Statistical Inference

9th edition

Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

ISBN: 978-0321923271