The unified higher-order corrected Komar formulas for mass and angular momentum

Abstract: It is of great convenience to apply Komar integral to define mass and angular momentum of asymptotically-flat spacetimes.However, their expressions
differ from each other in form due to the existence of a different factor. In order to eliminate the difference between them, by utilizing the method
in which the conserved current is generated via the action of the degree-preserving differential operators on a 1-form vector field, we modify
the conventional Komar potential by including a nonlinearthird-order derivative term of Killing vector.Conserved charges based on the higher-order corrected Komar potential unify the definitions of mass and angular momentum for asymptotically-flat spacetimes.