This paper introduces two methods for constructing the effective lagrangian of gravitational bosons: the CCWZ method and the topological method, and then uses these two methods to calculate the symmetry breaking SO(4)/SO(3) of the effective lagrangian of the gravitational boson. By comparing the results, it is found that the effective lagrangian constructed by the two methods is consistent, which further proves that the topological method is useful in constructing the effective lagrangian of the gravitational boson effectiveness.

This paper introduces two methods for constructing the effective Laplace value of gravitational bosons: the CCWZ method and the topological method, and then uses these two methods to calculate the symmetry breaking SO(4)/SO(3) of the effective Laplace value of the gravitational boson. By comparing the results, it is found that the effective Laplace value constructed by the two methods is consistent, which further proves that the topological method is useful in constructing the effective Laplace value of the gravitational boson effectiveness.

This paper attempted to use the RVB method to find that there is a constant that cannot be crossed out in the calculation of the curvature term representing the geometric invariant. The constant may be a parameter item.

The effect of magnetic fields on black hole superradiance is an interesting topic with possible astrophysical applications. A dyonic RN-like black hole is not asymptotically flat, it describes a black hole immersed in an asymptotically uniform magnetic field. In this paper, we discuss the superadditive stability of a class of asymptotically flat, band-like black holes, the binary RN black holes. In this article, we introduce the above condition into dyonic RN-like black holes. If a dyonic RN-like black hole satisfies the condition of µ = yω, when µ ≥ √ 2(mΩH + qΦH),so the dyonic RN-like black hole is superradiantly stable at that time.

When Λ is the cosmological constant concerning (g µν) 2 [3, 10], we use the constructed new action to get the new cosmological constant and deduce a new form of f(R) using the coupled effects of gravity and quantum fields.

In this article, we fabricate a black hole metric that conforms to the SU(2) group structure and compute the scalar curvature of the thermodynamic geometry of this black hole. We conclude that there is no phase transition for SU(2) black holes.