Analytical Models for Gravitating Radiating Systems

<div>The radial profile for the energy density <svg height="9.4034pt" id="M108" 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> at various units of time.</div>

Advances in Mathematical Physics

Analytical Models for Gravitating Radiating Systems

Figure 3