We offer a straightforward method for tackling the challenging issue of quantization of the gravitational field in four dimensions of space-time because of the nonlinearity of the Einstein equations. The issue could be resolved if the cosmological constant is not null. The cosmological half's Hamiltonian will be quantized, resulting in quantization of the opposing Riemannian part as well. The Hamiltonian can be easily quantized using a correspondence rule in which the eigenvectors are replaced by creation and annihilation operators for the gravitational field when the cosmological contribution is treated as the energy-momentum of vacuum and the metric tensor is represented on the tetrad of its eigenvectors. As a result, the geometric Einstein tensor, whose sign matches that of the vacuum energy-momentum, is quantized (plus the potentially known matter one). The Schwarzschild-DeSitter, Robertson-Walker-DeSitter, and Kerr-DeSitter solutions each provide physical instances that we examine.
Author(s) Details:Alberto Strumia,
Istituto Nazionale di Alta Matematica “F. Severi” ( I.N.D.A.M.) - Italy.
Please see the link here: https://stm.bookpi.org/NTPSR-V6/article/view/7222
No comments:
Post a Comment