Particle Dynamics around Weakly Magnetized Reissner-Nordström Black Hole

<div>Escape velocity (<svg height="8.98255pt" id="M175" style="vertical-align:-3.16518pt" version="1.1" viewbox="-0.0498162 -5.81737 17.8207 8.98255" width="17.8207pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M219 86C216 168 211 250 206 337C201 410 189 448 163 448C131 448 79 396 43 344L60 322C91 359 110 375 118 375S132 358 136 298C141 238 152 81 155 -12H182C242 62 331 177 390 258C435 321 451 360 451 391C450 424 432 448 408 448C390 448 372 435 366 419C362 410 362 401 366 394C373 383 376 367 376 350C376 283 262 138 221 86H219Z" id="g185-40"></path><glyph.data ascent="989" descent="-303" horiz-adv-x="447" vert-adv-y="447"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,5.811,3.001)"><path d="M384 109C349 76 310 59 268 59C197 59 123 113 120 245C240 248 367 259 384 262C403 266 407 275 407 296C407 376 338 451 254 451H253C201 451 148 425 105 378C65 334 39 272 39 203C39 88 112 -12 235 -12C266 -12 339 5 402 84L384 109ZM230 411C285 411 319 365 319 313C319 298 313 293 294 293C236 291 180 290 125 290C141 370 185 411 230 411Z" id="g58-99"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="434" vert-adv-y="434"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,9.733,3.001)"><path d="M327 325C324 350 312 408 304 433C283 442 256 451 213 451C120 451 59 391 59 320C59 243 125 210 188 181C237 158 266 136 266 93C266 52 231 24 195 24C134 24 93 81 74 148L42 143C42 106 51 37 59 23C78 8 125 -12 177 -12C257 -12 345 35 345 127C345 198 292 234 216 264C171 283 131 305 131 348C131 387 156 416 195 416C243 416 277 378 297 317L327 325Z" id="g58-113"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="376" vert-adv-y="376"></glyph.data></g><g transform="matrix(.0091,0,0,-0.0091,13.228,3.001)"><path d="M396 114C349 71 317 59 274 59C216 59 123 104 123 241C123 342 180 400 246 400C283 400 317 386 348 359C355 352 361 348 366 348C378 348 401 371 402 394C402 405 398 413 385 424C369 437 337 451 294 451H293C254 451 193 434 141 394C73 342 39 277 39 198C39 90 114 -12 243 -12C303 -12 371 31 415 90L396 114Z" id="g58-97"></path><glyph.data ascent="1007" descent="-369" horiz-adv-x="432" vert-adv-y="432"></glyph.data></g></svg>) against <svg height="9.4034pt" id="M176" style="vertical-align:-3.40335pt" version="1.1" viewbox="-0.0498162 -6.00005 7.26338 9.4034" width="7.26338pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M525 275C525 381 464 451 380 451C338 451 289 439 241 405C158 347 127 277 106 152C51 -168 37 -216 24 -242L28 -257C42 -256 92 -247 117 -222C126 -213 134 -193 150 -69L166 32C184 10 211 -12 245 -12C276 -12 332 8 384 46C458 100 525 176 525 275ZM436 260C436 131 366 41 267 41C246 41 208 51 175 82C181 125 187 162 195 200C220 322 257 400 328 400C398 400 436 338 436 260Z" id="g50-239"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="549" vert-adv-y="549"></glyph.data></g></svg> for different values of angular momentum <svg height="9.01192pt" id="M177" style="vertical-align:-0.2063904pt" version="1.1" viewbox="-0.0498162 -8.80553 6.19339 9.01192" width="6.19339pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M443 572C443 635 407 665 362 665C328 665 293 654 255 623C199 577 159 509 120 338L105 272C80 250 53 230 24 211L32 182C54 195 77 210 98 226L86 167C72 99 77 49 95 24C112 1 141 -12 174 -12C246 -12 320 36 371 105L354 129C324 97 265 54 218 54C175 54 148 87 170 191L188 277C294 349 443 451 443 572ZM380 569C380 486 267 383 198 330L218 413C256 564 284 626 332 626C362 626 380 601 380 569Z" id="g50-127"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="467" vert-adv-y="467"></glyph.data></g></svg>, for extremal RN-BH.</div>

Advances in High Energy Physics

fig11

Figure 11

Figure 11: Particle Dynamics around Weakly Magnetized Reissner-Nordström Black Hole 