Question A7 Consider the following line element, ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz², where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.

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Question A7
Consider the following line element,
ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz²,
where a(t) and b(t) are distinct functions. State whether or not this line element obeys the
Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.
Transcribed Image Text:Question A7 Consider the following line element, ds² = - dt² + a² (t) (da² + dy²) + b² (t) dz², where a(t) and b(t) are distinct functions. State whether or not this line element obeys the Cosmological Principle, if applied to describe the universe on large scales. Justify your answer.
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