2025/01/04 by Sivakumar Namasivayam, Namasivayam, Sivakumar, Elizabeth Winstanley +1
Physics and Astronomy · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories
paper · doi:10.48550/arxiv.2501.02320
We compute the renormalized expectation value of the stress-energy tensor operator for a quantum scalar field propagating on three-dimensional global anti-de Sitter space-time. The scalar field has general mass and nonminimal coupling to the Ricci scalar curvature, and is subject to Dirichlet, Neumann or Robin boundary conditions at the space-time boundary. We consider both vacuum and thermal states, and explore whether the weak and null energy conditions are satisfied by the quantum stress-energy tensor. We uncover a rather complicated picture: compliance with these two energy conditions depends strongly on the mass and coupling of the scalar field to the curvature, and the boundary conditions applied.