Is it possible to have fermions in Schwarzschild spacetime?
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Yeah because Geroch proved that on 4-dimensional non-compact manifold a necessary and sufficient condition for a manifold to have a notion of spinors is to be parallelizabe....
Also spinors are a common way to describe fermion fields in quantum field theory....
Also spinors are a common way to describe fermion fields in quantum field theory....
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Answered by
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Hello mate here is your answer.
You can have fermionic quantum field theory on curved spacetime, set in a black hole setting; see Syed Alwi B. Ahmad's doctoral thesis Fermion Quantum Field Theory In Black-hole Spacetimes. It seems that you may have to consider spacetime as R4−(R×D)R4−(R×D) where you just "cut out" the event horizon (and its interior), and construct your spinor field on the rest of spacetime.
Hope it helps you.
You can have fermionic quantum field theory on curved spacetime, set in a black hole setting; see Syed Alwi B. Ahmad's doctoral thesis Fermion Quantum Field Theory In Black-hole Spacetimes. It seems that you may have to consider spacetime as R4−(R×D)R4−(R×D) where you just "cut out" the event horizon (and its interior), and construct your spinor field on the rest of spacetime.
Hope it helps you.
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