- #1
xpet
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Hi All,
I am evaluating the components of the stress-energy tensor for a (Klein-Gordon) complex scalar field. The ultimate aim is to use these in evolving the scalar field using the Klein-Gordon equations, coupled to Einstein's equations for evolving the geometric part. The tensor is given by
Tab = ½(∂aΦ* ∂bΦ + ∂aΦ ∂bΦ*) - ½gab(gcd ∂cΦ* ∂dΦ + V(|Φ|2))
All indices run from 0 to 3, and Φ* is the complex conjugate of Φ.
Now, evaluating the components of this stress-energy tensor, not all components the stress-energy tensor are real. In particular, when indices a and b are different. I just need to confirm if this observation is correct. The reason being that, part of the simulation code I will use seems to expect a stress-energy tensor with all real components.
Any help and insights will be appreciated.
Thank you
I am evaluating the components of the stress-energy tensor for a (Klein-Gordon) complex scalar field. The ultimate aim is to use these in evolving the scalar field using the Klein-Gordon equations, coupled to Einstein's equations for evolving the geometric part. The tensor is given by
Tab = ½(∂aΦ* ∂bΦ + ∂aΦ ∂bΦ*) - ½gab(gcd ∂cΦ* ∂dΦ + V(|Φ|2))
All indices run from 0 to 3, and Φ* is the complex conjugate of Φ.
Now, evaluating the components of this stress-energy tensor, not all components the stress-energy tensor are real. In particular, when indices a and b are different. I just need to confirm if this observation is correct. The reason being that, part of the simulation code I will use seems to expect a stress-energy tensor with all real components.
Any help and insights will be appreciated.
Thank you