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1. Why does the sign of the metric have to be (+,-,-,-) or (-,+,+,+)?

meaning why does the sign in front of the time part of the metric have to be different than the signs in front of the spatial part of the metric?

is there a good answer for this question other than it gives the right answer.

2. are the signs something that just pop out after solving the Einstein Equations for various scenarios and doing the math or is it put there ad hoc?

thank you

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# Sign of Metric

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