Rotating Black Holes in Microscopic Theory: the Implications for Periodic Source M82X-2

Abstract

In previous paper [1], we employ the microscopic theory of black hole to study the observed unusual high luminosity of NuSTAR X-ray pulsations from M82X-2 without the need for significant breaking of Eddington limit. Exploring a spontaneous breaking of gravitation gauge symmetry at huge energies, this theory has smeared out a central singularity of black hole replacing it by the equilibrium, so-called, superdense proto-matter core (SPC), subject to certain rules. In this framework, we think of a M82X-2 as being a spinning intermediate mass black hole. However, for rigorous theoretical solutions, in present report we analytically treat the microscopic model of stationary and axisymmetric rotating black hole. A ring singularity of the Kerr black hole cannot occur, which is now replaced by equilibrium SPC. We calculate the corrections to previous model, introduced by the rotation, of the characteristic phase profile of M82X-2.

Plausible Intermediate Mass Black Hole from M82X-2 X-Ray Pulsations

“…The resulting bilinear form of norm d s 2 of infinitesimal displacement on V 4 describes the metric of the stationary and axisymmetric space V 4 [2] in the most commonly used 3 + 1 formalisms. In the 3 + 1 formalism, as usual, 3+1 foliations of spacetime V 4 by space-like 3-slices {Σ t } play an important role.…”

“…In the case of stationary and axisymmetric space V 4 , the dimensionless potentials of the 1D gravitation filed x 0 , the frame-dragging potential x 1 , and the ID fieldx, are generated by the stress-energy tensor of isolated spinning fluid T → 0 [2]. The existence of a global vacuum solution, χ (≡ x 0 , x 1 ), outside of the matter (x = 0), amounts to solving the field equations in a nearly Newtonian weak source limit: T → 0.…”

“…of the "time" coordinate [2]. The two double principal null directions define "radially" ingoing and outgoing null congruences near the SPC which is the source of the field.…”

“…In order to circumvent the obstacles without the need for significant breaking of Eddington limit, in [1,2] the M82X-2 is addressed as a spinning IMBH (SIMBH) by exploring the growth behavior of the black hole seeds (for an observational evidence see sect.2), in the framework of MTBH. The MTBH is the extension of the PBHM and rather completes it by exploring the most important processes of rearrangement of vacuum state and a spontaneous breaking of gauge symmetry in gravity, and thereof for that of rearrangement of vacuum state, at huge energies (see e.g.…”

“…Alternative approach to circumvent the obstacles was studied in [1,2] by addressing the M82X-2 as a spinning intermediate mass black hole, resided in final stage of growth. This approach employs the microscopic theory of black hole (MTBH), which explores a spontaneous breaking of gravitation gauge symmetry at huge energies.…”