Towards the deformation quantization of linearized gravity
Hernando Quevedo, Julio G. Tafoya
Abstract
We present a first attempt to apply the approach of deformation quantization to linearized Einstein's equations. We use the analogy with Maxwell equations to derive the field equations of linearized gravity from a modified Maxwell Lagrangian which allows the construction of a Hamiltonian in the standard way. The deformation quantization procedure for free fields is applied to this Hamiltonian. As a result we obtain the complete set of quantum states and its discrete spectrum.
Create a lesson
Related papers
Spin-network states for the Bianchi I and IX cosmological models from quantum constrained symmetries
Matteo Bruno, Giovanni Montani, Edoardo Maria Panno
Entropy, area, and the choice of regulator during gravitational collapse
Jana N. Guenther, Christian Hoelbling, Sophie Mutzel et al.
On the Extended Kerr-Newman-Bertotti-Robinson Spacetime: Two Black Holes and a Naked Singularity in Bertotti-Robinson Universe
Yu-Sen Zhou, Wen-Tao Fu, Li-Ming Cao et al.
The return of Palatini inflationary attractors: Universal mapping of observables
Christian Dioguardi, Francesco Gianesello, Antonio Racioppi
Gravity from Invariant Weyl-Integrable space-time (IWIST)
José Edgar Madriz Aguilar, A. Bernal, M. Montes et al.
Quasinormal modes of Schwarzschild--AdS black holes with a near-horizon reflective surface
Libo Xie, Liang-Bi Wu, Yu-Sen Zhou et al.