- #1

Kurvature

- 22

- 0

- TL;DR Summary
- If the flat (Cartesian) metric is multiplied by a time dependent scale factor could it yield a curvature?

5/18/22

I am an MS in physics.

I need to find out if the following CONFORMAL

METRIC produces zero or nonzero curvature?

I suspect the curvature is zero, but others

have said it's probably not? MAXIMA

sometimes says it is, and other times produces

a Ricci scalar that looks like the FRW scalar

curvature ?

Does someone know the answer to this question

off the top of their head?

If not, could someone possibly plug this metric

into Mathematica and tell me if Ricci scalar

is actually zero or if not, what it actually is ?

|a 0 0 0 |

|0 a 0 0 | = the given spacetime metric

|0 0 a 0 |

|0 0 0 -a|

where: a = a(t) = "the scale factor" is a

simple well behaved function of time.

Thanks in advance, absolutely desperate,

Kurvature

I am an MS in physics.

I need to find out if the following CONFORMAL

METRIC produces zero or nonzero curvature?

I suspect the curvature is zero, but others

have said it's probably not? MAXIMA

sometimes says it is, and other times produces

a Ricci scalar that looks like the FRW scalar

curvature ?

Does someone know the answer to this question

off the top of their head?

If not, could someone possibly plug this metric

into Mathematica and tell me if Ricci scalar

is actually zero or if not, what it actually is ?

|a 0 0 0 |

|0 a 0 0 | = the given spacetime metric

|0 0 a 0 |

|0 0 0 -a|

where: a = a(t) = "the scale factor" is a

simple well behaved function of time.

Thanks in advance, absolutely desperate,

Kurvature