In 4D Einstein-Gauss-Bonnet gravity, neutron stars turn unstable exactly at their maximum mass, but near the black hole limit some solutions regain stability, suggesting stable black-hole-sized objects.
Stability of the Einstein Static Universe in $4 D$ Gauss-Bonnet Gravity
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By rescaling the Gauss-Bonnet (GB) coupling constant $\alpha \rightarrow \alpha/(D-4)$ and considering the $D \rightarrow 4$ limit, the GB gravity gives rise to nontrivial modification of general relativity in four dimensions. In this work, we investigate the realization of the emergent universe scenario in the $4 D$ GB gravity. First, we obtain the Einstein static universe filled with a perfect fluid. Then, we show that both spatially closed and open universes can be stable against both homogeneous and inhomogeneous scalar perturbations simultaneously.
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Neutron stars in 4D Einstein-Gauss-Bonnet gravity
In 4D Einstein-Gauss-Bonnet gravity, neutron stars turn unstable exactly at their maximum mass, but near the black hole limit some solutions regain stability, suggesting stable black-hole-sized objects.