A model for the emission of SGRBs-GW from binary mergers

TL;DR

The paper proposes a multi-faceted framework linking short gamma ray burst EM emission to binary mergers with strong magnetic fields, examining MRI driven jet formation around spinning and Kerr-Newman BHs and quantifying jet energetics and viewing-angle effects. It then reviews BH interior structure, interior volume, and entropy variation via the Christodoulou–Rovelli CR volume approach, tying interior quantum mode entropy to Hawking entropy and evaporation across Schwarzschild, Kerr, BTZ, and higher dimensional cases. Extending into modified gravity, the work analyzes configuration entropy and Van der Waals–like phase transitions for BHs in f(R) gravity, deriving critical points, coexisting curves, latent heat, and Clapeyron relations in reduced parameter spaces. The study aims to bridge BH interior physics, horizon thermodynamics, and astrophysical transients by connecting MRI induced energy extraction, BZ jets, and the interior-exterior entropy interplay under both GR and f(R) dynamics, with implications for GW-SGRB associations and holographic dualities. Overall, the work proposes theoretical pathways to interpret rare GW-SGRB events and to probe BH microphysics through interior volumes, entropy variations, and modified gravity effects.

Abstract

This report is divided into three main parts: 1. The first two chapters discuss the emission of Short GRB (SGRB) from binary mergers surrounded by a strong magnetic field. By introducing our model, we investigated the physics of the emission of SGRBs from rotating and charged rotating BHs. A rapidly spinning, strongly magnetized neutron star (millisecond magnetar) is the primary source of strong magnetic fields ranging from $10^{13}~\rm to ~ 10^{16} G$. The decay of the magnetic field could power electromagnetic radiation, especially X-rays and gamma rays from NSs or NS-BH mergers as their primary sources. Considering the merger of compact bodies (NS-NS or NS-BH or BH-BH), we can obtain interesting results. 2. In the next two chapters, we reviewed the BH interiors to understand the nature of black hole interior information and evaporation from its initial to final phases via entropy variation. The evolution relation obtained from two types of entropy gives diverse understandings of the evaporation of BHs under Hawking radiation. 3. The fifth Chapter is related to BH configuration (information) entropy and the thermodynamic phase transition of $f(R)$ BH. Here, we consider a d$-$dimensional black hole (BH) in $f(R)$ gravity and analyze the effect of modified gravity on critical point parameters, the difference in number densities, and configuration entropy during the BH phase transition phenomenon. These results were also compared with charged AdS BH, the holographic dual of van der Waal's fluid, and hence the BH in modified gravity.

Figures (29)

• Figure 1: (a). Sketch for turbulence due to a magnetic field. The fluid displaced from $p_1$ to $p_2$ due to instability feels a magnetic tension to restore the fluid while the shear magnetic field component spins up the BH. (b). The dynamics of the magnetic field under tension.
• Figure 2: (a). Rotating disk around the plunging BHs with a strong magnetic field. (b). BH colliding and emission of the jet along the axis of rotation.
• Figure 3: A sketch of KNBH with magnetized accretion disc emitting a narrow GRB by BZ jets.
• Figure 4: A close look at the jet along the axis of rotation from KNBH with magnetized accretion disc. The core angle $\theta_c$, opening angle $\theta_o$, and angle $\theta_v$ (the angle that the outgoing photon makes with the normal to the jet surface.) are shown from the axis of rotation Perna2019Salafia2015Hayes2020
• Figure 5: The plot of $\gamma_{\rm KNBH}$ vs. $\Omega_{F}$ for a charged rotating BH with $M=65 {M}_{\odot}$ and $a=0.67$.