First, I'd like to thank everyone that has helped me thus far in deriving the general relativistic tensors for the Morris-Thorne wormhole metric in an orthonormal basis. I have finally done it and grasped that concept. Now that I have done that, my new stress energy momentum tensor for this metric is as follows:(adsbygoogle = window.adsbygoogle || []).push({});

T_{00}and T_{11}= -b^{2}c^{4}/ (8πG)(b^{2}+ l^{2})^{2}

T_{22}and T_{33}are the same thing but they are positive.

Now that this has been derived, I would like to know how to physically interpret this tensor. Does this mean that if I obtain a ball of a ball of negative energy that is of the density -b^{2}c^{4}/ (8πG)(b^{2}+ l^{2})^{2}, that I could create a wormhole of radius b?

For example, if I want to create a wormhole of radius 10 (not worrying about units right now), then I'd need an energy ball that has a density of:

(-100c^{4}) / (8πG)(100 + l^{2})^{2}

Also, if I got a ball of such energy density, would that guarantee that the ball would automatically the angular momentum fluxes of the same magnitude that is depicted in the SET?

Finally, I know that l is the radial coordinate, but the radial coordinate with respect to what? Example: In normal spherical coordinates, the radial coordinate is the distance from the center of the sphere.

In this wormhole, what would be the "center"? Is the radial coordinate the distance away from the center of the wormhole itself? Is the actual wormhole assumed to be spherical since this metric is in a spherical basis?

Or perhaps is l the length of the wormhole (ie. If I want to take a shortcut through space that would normally be a distance of 100 meters that l = 100) ?

Please help me physically understand the implications of this stress energy momentum tensor.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Physical interpretation of the stress energy momentum tensor

**Physics Forums | Science Articles, Homework Help, Discussion**