Remarks on Null Geodesics of Born-Infeld Black Holes

<table>The graph shows the bending angle <svg height="7.1750002" id="M210" style="vertical-align:-0.1254pt" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,7.175)">
<g transform="translate(72,-66.26)">
<text transform="matrix(1,0,0,-1,-71.95,66.44)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛼</tspan>
</text>
</g>
</g>
</svg> for the Born-Infeld black hole as a function of the <svg height="13.425" id="M211" style="vertical-align:-2.29482pt" version="1.1" viewbox="0 0 8.8500004 13.425" width="8.8500004" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.425)">
<g transform="translate(72,-61.26)">
<text transform="matrix(1,0,0,-1,-71.95,63.6)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝛽</tspan>
</text>
</g>
</g>
</svg>. Here, the impact parameter is kept fixed at <svg height="11.1" id="M212" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 59.212502 11.1" width="59.212502" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
<tspan style="font-size: 12.50px; " x="13.340701" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.38109" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="31.632589" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="34.758339" y="0">5</tspan>
<tspan style="font-size: 12.50px; " x="41.009838" y="0">6</tspan>
</text>
</g>
</g>
</svg>. Also, <svg height="11.1" id="M213" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 86.012497 11.1" width="86.012497" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,11.1)">
<g transform="translate(72,-63.12)">
<text transform="matrix(1,0,0,-1,-71.95,63.35)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑀</tspan>
<tspan style="font-size: 12.50px; " x="16.028847" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="28.069235" y="0">1</tspan>
<tspan style="font-size: 12.50px; " x="34.320736" y="0">.</tspan>
<tspan style="font-size: 12.50px; " x="37.446484" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="43.697987" y="0">6</tspan>
<tspan style="font-size: 12.50px; " x="49.949486" y="0">4</tspan>
<tspan style="font-size: 12.50px; " x="56.200985" y="0">0</tspan>
<tspan style="font-size: 12.50px; " x="62.452484" y="0">5</tspan>
</text>
</g>
</g>
</svg> and <svg height="13.0625" id="M214" style="vertical-align:-1.90608pt" version="1.1" viewbox="0 0 39.537498 13.0625" width="39.537498" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,13.0625)">
<g transform="translate(72,-61.55)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝑄</tspan>
<tspan style="font-size: 12.50px; " x="13.228174" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="25.268562" y="0">1</tspan>
</text>
</g>
</g>
</svg>.</table>

International Scholarly Research Notices

Remarks on Null Geodesics of Born-Infeld Black Holes

Figure 11