论文标题
通过旋转kalb-ramond黑洞铸造的光和阴影的重力挠度
Gravitational deflection of light and shadow cast by rotating Kalb-Ramond black holes
论文作者
论文摘要
自我相互作用的反对称kalb-ramond场与重力的非零真空期望值的非微小耦合导致一个具有参数$ s $的强力毛线黑洞，其中包括Reissner $ -Nordstrom Black Hole（$ s = 1 $）。我们获得了这种毛茸茸的解决方案的轴向对称对应物，即旋转的kalb-ramond黑洞，其中包括特殊情况，kerr（$ s = 0 $）和kerr-newman（$ s = 1 $）黑洞。 Interestingly, for a set of parameters ($M, a$, and $Γ$), there exists an extremal value of the Kalb-Ramond parameter ($s=s_{e}$), which corresponds to an extremal black hole with degenerate horizons, while for $s<s_{e}$, it describes a nonextremal black hole with Cauchy and event horizons, and no black hole for $ s> s_ {e} $。我们发现极值$ s_e $也受这些参数的影响。黑洞的阴影尺寸单调减小，形状随着$ S $的增加而变得更加扭曲；反过来，旋转的Kalb-Ramond黑洞的阴影比相应的Kerr黑洞阴影更小，更扭曲。我们研究了Kalb-Ramond场对从Kerr和Schwarzschild黑洞值的光偏转角度分析推导到光偏转角的校正的影响。包括SGR A*的挠度角度和由超级黑洞M87*引起的阴影，并将其与Kerr黑洞的类似结果进行了比较。 The inferred circularity deviation $ΔC\leq 0.10$ for the M87* black hole merely constrains the Kalb-Ramond field parameter, whereas shadow angular diameter $θ_d=42\pm 3\, μ$as, within the $1σ$ region, places bounds $Γ\leq 0.09205$ for $s=1$ and $Γ\leq 0.02178$ for $ s = 3 $。
The nonminimal coupling of the nonzero vacuum expectation value of the self-interacting antisymmetric Kalb-Ramond field with gravity leads to a power-law hairy black hole having a parameter $s$, which encompasses the Reissner$-$Nordstrom black hole ($s=1$). We obtain the axially symmetric counterpart of this hairy solution, namely, the rotating Kalb-Ramond black hole, which encompasses, as special cases, Kerr ($s=0$) and Kerr-Newman ($s=1$) black holes. Interestingly, for a set of parameters ($M, a$, and $Γ$), there exists an extremal value of the Kalb-Ramond parameter ($s=s_{e}$), which corresponds to an extremal black hole with degenerate horizons, while for $s<s_{e}$, it describes a nonextremal black hole with Cauchy and event horizons, and no black hole for $s>s_{e}$. We find that the extremal value $s_e$ is also influenced by these parameters. The black hole shadow size decreases monotonically and the shape gets more distorted with an increasing $s$; in turn, shadows of rotating Kalb-Ramond black holes are smaller and more distorted than the corresponding Kerr black hole shadows. We investigate the effect of the Kalb-Ramond field on the rotating black hole spacetime geometry and analytically deduced corrections to the light deflection angle from the Kerr and Schwarzschild black hole values. The deflection angle for Sgr A* and the shadow caused by the supermassive black hole M87* are included and compared with analogous results of Kerr black holes. The inferred circularity deviation $ΔC\leq 0.10$ for the M87* black hole merely constrains the Kalb-Ramond field parameter, whereas shadow angular diameter $θ_d=42\pm 3\, μ$as, within the $1σ$ region, places bounds $Γ\leq 0.09205$ for $s=1$ and $Γ\leq 0.02178$ for $s=3$.
