Remarks on Null Geodesics of Born-Infeld Black Holes

<table>The graph shows the closest approach <svg height="11.05" id="M188" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 12.1375 11.05" width="12.1375" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝑟</tspan>
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<tspan style="font-size: 8.75px; " x="0" y="0">𝑜</tspan>
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</svg> for the effective geometry of the Born-Infeld black hole as a function of the impact parameter <svg height="10.325" id="M189" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" xmlns="http://www.w3.org/2000/svg">
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<tspan style="font-size: 12.50px; " x="0" y="0">𝐷</tspan>
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</svg>. Here, <svg height="11.1" id="M190" 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">
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<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>
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</svg>, <svg height="13.0625" id="M191" 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>
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</g>
</svg> and <svg height="10.6875" id="M192" style="vertical-align:-0.0pt" version="1.1" viewbox="0 0 38.387501 10.6875" width="38.387501" xmlns="http://www.w3.org/2000/svg">
<g transform="matrix(1.25,0,0,-1.25,0,10.6875)">
<g transform="translate(72,-63.45)">
<text transform="matrix(1,0,0,-1,-71.95,63.5)">
<tspan style="font-size: 12.50px; " x="0" y="0">𝐿</tspan>
<tspan style="font-size: 12.50px; " x="12.315455" y="0">=</tspan>
<tspan style="font-size: 12.50px; " x="24.355844" y="0">1</tspan>
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</g>
</g>
</svg>.</table>

International Scholarly Research Notices

Remarks on Null Geodesics of Born-Infeld Black Holes

Figure 8