Noncommutative gravity and the Higgs mechanism

M. A. Rojo, R. M. S. Schafer
Comments: 27 pages, 3 figures. arXiv admin note: text overlap with arXiv:1503.04317

We investigate the noncommutative gravity hypothesis, in which the Higgs mechanism is known to play the role of the Higgs particle. The noncommutative solution of Einstein's equations is known to be the Higgs solution, and the noncommutative solution of the Einstein equation is known to be the graviton solution. The noncommutative solutions of the Einstein equations are known to be the Higgs solutions. We investigate the noncommutative solutions of the Einstein equations in the context of the Higgs mechanism. For the general Einstein model, we construct the Higgs mechanism as a noncommutative solution of the Higgs mechanism in the presence of the Higgs field. We find that the noncommutative solutions of the Einstein equation are the graviton solutions, and that the noncommutative solutions of the Einstein equation are the graviton solutions. We then discuss the relationship between the Hawking radiation and the noncommutative solutions of the Einstein equation. Using the noncommutative solutions of the Einstein equation, we show that the Hawking radiation is a direct product of the noncommutative solutions of the Einstein equation, and that the noncommutative solutions of the Einstein equation are the graviton solutions.