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arXiv · 1811.06523

On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes

Adolfo Cisterna·Nicolas Grandi·Julio Oliva
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Abstract

We show that the combination of cubic invariants defining five-dimensional quasitopological gravity, when written in four dimensions, reduce to the version of four-dimensional Einsteinian gravity recently proposed by Arciniega, Edelstein & Jaime, that produces second order equations of motion in a FLRW ansatz, with a purely geometrical inflationary period. We introduce a quartic version of the four-dimensional Einsteinian theory with similar properties, and study its consequences. In particular we found that there exists a region on the space of parameters which allows for thermodynamically stable black holes, as well as a well-defined cosmology with geometrically driven inflation. We briefly discuss the cosmological inhomogeneities in this setup. We also provide a combination of quintic invariants with those properties.

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Adolfo Cisterna, Nicolas Grandi, Julio Oliva. 2018-11-15. On four-dimensional Einsteinian gravity, quasitopological gravity, cosmology and black holes. https://doi.org/10.1016/j.physletb.2020.135435

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