Soft breaking in Ho?ava Gravitational theory

2nd International Conference on Mathematical Modeling in Physical Sciences 2013

物理学;数学

Restuccia, Alvaro^1 ; Bellorín, Jorge^2 ; Sotomayor, Adrián^3

Departamento de Física, Universidad de Antofagasta, Antofagasta, Chile^1

Departamento de Física, Universidad Simón Bolívar, Caracas, Venezuela^2

Departamento de Matemáticas, Universidad de Antofagasta, Antofagasta, Chile^3

关键词: Coupling constants;    General Relativity;    Gravitational theory;    Linearized theory;    Minkowski;    Quantum correction;    Symmetric solution;    Time-scales;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/490/1/012123/pdf
DOI  :  10.1088/1742-6596/490/1/012123

来源: IOP

【 摘 要 】

We consider anisotropic gravity at the conformal point of the kinetic term of the Hoava Gravity. This value is protected under quantum corrections by the constraints of the theory. The symmetry of the z 3 interacting terms, z being the time scale, which ensure the renormalizability of the theory is softly broken by z 1 interacting terms. We show that the resulting theory has the same number of physical degrees of freedom as General Relativity. Moreover the linearized theory around the Minkowski solution is exactly equivalent to General Relativity. We also study the spherically symmetric solutions to the fields equations. We find a close expression for the solutions. It terms out that the solutions are structurally stable from the right and unstable from the left around the value of the coupling constant corresponding to the Schwarzchild solution of General Relativity.