The Regge law for heavenly bodies

On the evolution of compact binary black holes

“…The radius of the event horizon (distance from the gravitating mass M k at which the particle velocity becomes equal to the speed of light c) [7][8][9]…”

“…We assume that the total angular momentum J = GM 2 /c of di-black-hole system [7][8][9] is conserved during the conservative mass transfer and the orbital angular momentum of the di-black-hole is…”

The de Sitter relativistic top theory

“…The central idea in this section is to derive the set of constraints associated with (21) which, of course, should correspond to (10) and (11). Instead of starting with the Lagrangian given in (21) we shall take advantage of the formulas (16) and (17).…”

“…4), one gets the feeling that Regge thought of the trajectory constraint linking mass and the spin of a relativistic spinning object as a deep physical concept of nature. 9 It seems that even Regge is in the sky 10 in connection with the mass and the internal angular momentum of celestial objects. In fact, such a constraint, now called Regge trajectory, plays a fundamental role not only in the dual string models 5 and the relativistic rotator theory, 6,7 but also in string theory 8 and in the black holes approach.…”

Application of Regge Theory to Astronomical Objects

“…In References [5][6][7][8][9], the relations, found with the Regge approach for quantum objects, have been applied to the macroscopic composite systems. As shown in References [5][6][7][8][9], in the general case of an n-dimensional astrophysical object, the relation between spin S and mass M of the object is the following:…”