Higher Lovelock orders promote local visibility of central shell-focusing singularities in dust collapse by controlling the apparent horizon formation relative to the singularity curve.
Compact objects in pure Lovelock theory
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abstract
For static fluid interiors of compact objects in pure Lovelock gravity (involving ony one $N$th order term in the equation) we establish similarity in solutions for the critical odd and even $d=2N+1, 2N+2$ dimensions. It turns out that in critical odd $d=2N+1$ dimensions, there can exist no bound distribution with a finite radius, while in critical even $d=2N+2$ dimensions, all solutions have similar behavior. For exhibition of similarity we would compare star solutions for $N =1, 2$ in $d=4$ Einstein and $d=6$ in Gauss-Bonnet theory respectively. We also obtain the pure Lovelock analogue of the Finch-Skea model.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Higher Lovelock Curvature Terms Favor Local Nakedness in Dust Collapse
Higher Lovelock orders promote local visibility of central shell-focusing singularities in dust collapse by controlling the apparent horizon formation relative to the singularity curve.