# Ground state for a massive scalar field in the BTZ spacetime with Robin boundary conditions

@article{Bussola2017GroundSF, title={Ground state for a massive scalar field in the BTZ spacetime with Robin boundary conditions}, author={Francesco Bussola and C. Dappiaggi and H. Ferreira and Igor Khavkine}, journal={Physical Review D}, year={2017}, volume={96} }

We consider a real, massive scalar field in BTZ spacetime, a 2+1-dimensional black hole solution of the Einstein's field equations with a negative cosmological constant. First, we analyze the space of classical solutions in a mode decomposition and we characterize the collection of all admissible boundary conditions of Robin type which can be imposed at infinity. Secondly, we investigate whether, for a given boundary condition, there exists a ground state by constructing explicitly its two… CONTINUE READING

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