Without greater knowledge of thermal gravity \(g_T\), it is actually not wise to speculate that, \(g\) and \(g_T\) have an intersection in general. Both curves could be almost parallel but not cross as \(x\rightarrow\infty\). In which case, \(T\) travels with decreasing acceleration that approaches zero as \(x\rightarrow\infty\). \(T\) is not decelerated. Eventually, \(T\) is zero (not zero velocity but zero value) when \(x\) reaches the mathematical \(L\).
The Sun will then display itself as a splat of heat. When the heat is high we might see plasma. Depending on the composition of materials inside this hot zone, we will see various display of colors and lights.
A Nebula!
The epicenter of such a Nebula will then be like the mass core of our Sun; we cannot see our Sun's core, only the boundary where \(g_T-g=0\). A Nebula is a sun where its thermal gravity \(g_T\) is always higher than its mass gravity, \(g\) before \(T\) reaches zero. The curves of \(g_T\) and \(g\) may not meet at all; ie no zero cross over point, or may meet at a point \(x>L\), beyond \(T=0\).
Have a nice day.