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Numerical studies of gravitational collapse in isotropic coordinates haverecently shown an interesting connection between the gravitational Lagrangianand black hole thermodynamics. A study of the actual spacetime was not the mainfocus of this work and in particular, the rich and interesting structure of theinterior has not been investigated in much detail and remains largely unknown.We elucidate its features by performing a numerical study of the spacetime inisotropic coordinates during gravitational collapse of a massless scalar field.The most salient feature to emerge is the formation of a thin shell of matterjust inside the apparent horizon. The energy density and Ricci scalar peak atthe shell and there is a jump discontinuity in the extrinsic curvature acrossthe apparent horizon, the hallmark that a thin shell is present in itsvicinity. At late stages of the collapse, the spacetime consists of two vacuumregions separated by the thin shell. The interior is described by aninteresting collapsing isotropic universe. It tends towards a vacuum (neverreaches a perfect vacuum) and there is a slight inhomogeneity in the interiorthat plays a crucial role in the collapse process as the areal radius tends tozero. The spacetime evolves towards a curvature (physical) singularity in theinterior, both a Weyl and Ricci singularity. In the exterior, our numericalresults match closely the analytical form of the Schwarzschild metric inisotropic coordinates, providing a strong test of our numerical code.

Emergence of thin shell structure during collapse in isotropic coordinates