- #1

- 7

- 0

Is any diagonal metric with constant determinant a solution of Eintein Equations in vacuum?

Does someone have the answer?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter isidrago
- Start date

- #1

- 7

- 0

Is any diagonal metric with constant determinant a solution of Eintein Equations in vacuum?

Does someone have the answer?

- #2

Matterwave

Science Advisor

Gold Member

- 3,966

- 327

A solution of the EFE's is not a single metric, but a metric field. A constant metric everywhere in space-time is trivially a solution to the vacuum EFE's. Assuming the metric field has the correct signature, then this metric field is isomorphic to the Minkowski metric, and does not represent anything other than flat space-time.

Last edited:

- #3

- 7

- 0

I mean that only the DETERMINANT of the diagonal metric is constant.

Can you say something in this case?

- #4

atyy

Science Advisor

- 14,751

- 3,257

Share: