Abstract
If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz group, we find interesting one-parameter families of stationary vacua in three-dimensional anti-de Sitter space. In particular, there exists a family of rotating Rindler vacua, labeled by the rotation parameter β, which are related to the usual Rindler vacuum by nontrivial Bogolubov transformations. Rotating Rindler-AdS space possesses not only an observer-dependent event horizon but even an observer-dependent ergosphere. We also find rotating vacua in global AdS provided a certain region of spacetime is excluded.
| Original language | English (US) |
|---|---|
| Article number | 024005 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 86 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jul 3 2012 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Rotating Rindler-AdS space. / Parikh, Maulik; Samantray, Prasant; Verlinde, Erik.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 86, No. 2, 024005, 03.07.2012.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Rotating Rindler-AdS space
AU - Parikh, Maulik
AU - Samantray, Prasant
AU - Verlinde, Erik
PY - 2012/7/3
Y1 - 2012/7/3
N2 - If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz group, we find interesting one-parameter families of stationary vacua in three-dimensional anti-de Sitter space. In particular, there exists a family of rotating Rindler vacua, labeled by the rotation parameter β, which are related to the usual Rindler vacuum by nontrivial Bogolubov transformations. Rotating Rindler-AdS space possesses not only an observer-dependent event horizon but even an observer-dependent ergosphere. We also find rotating vacua in global AdS provided a certain region of spacetime is excluded.
AB - If the Hamiltonian of a quantum field theory is taken to be a timelike isometry, the vacuum state remains empty for all time. We search for such stationary vacua in anti-de Sitter space. By considering conjugacy classes of the Lorentz group, we find interesting one-parameter families of stationary vacua in three-dimensional anti-de Sitter space. In particular, there exists a family of rotating Rindler vacua, labeled by the rotation parameter β, which are related to the usual Rindler vacuum by nontrivial Bogolubov transformations. Rotating Rindler-AdS space possesses not only an observer-dependent event horizon but even an observer-dependent ergosphere. We also find rotating vacua in global AdS provided a certain region of spacetime is excluded.
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U2 - 10.1103/PhysRevD.86.024005
DO - 10.1103/PhysRevD.86.024005
M3 - Article
VL - 86
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 1550-7998
IS - 2
M1 - 024005
ER -