Physical Quantities of Reissner-Nordström Spacetime with Arbitrary Function and Regularized Procedure

Table 2

Comparison between the results of energy using different translational momentum.

Translational momentum	Energy of Schwarzschild and Reissner-Nordström; spacetimes	Equation
Møller within the framework of tetrad spacetime	Energy of Schwarzschild spacetime; 𝐸=2𝑀−𝑅^2ℬ^′(ℛ)	(46) in [94]
Equation (9) with trivial; Weitzenböck connection, that is, Γ𝛼^𝛽=0, 𝑞=𝑐2=0	Energy of Schwarzschild spacetime; 𝑅𝐸=332+𝛽1−𝛼1	(24)
Equation (9) with nontrivial Weitzenböck connection, that is, Γ𝛼^𝛽≠0, 𝑞=𝑐1=0	Energy of Schwarzschild spacetime; 1𝐸≈𝑀+𝑂𝑅	(33)
Møller within the framework of tetrad spacetime	Energy of Reissner-Nordström spacetime; 𝑞𝐸=2𝑀−^2𝑅−𝑅^2ℑ^′(ℛ)	(38) in [93]
Equation (9) with trivial; Weitzenböck connection, that is, Γ𝛼^𝛽=0	Energy of Reissner-Nordström spacetime; 𝑅𝐸=332+𝛽1−𝛼1	(24)
Equation (9) with nontrivial Weitzenböck connection, that is, Γ𝛼^𝛽≠0	Energy of Reissner-Nordström spacetime; 𝑞𝐸≈𝑀−^212𝑅+𝑂𝑅^2	(33)