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

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.

Minor corrections, 14 pages, 1 figure

References in corpus (7)

• Black Holes in Higher-Derivative Gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Einsteinian cubic gravity
• Four-dimensional black holes in Einsteinian cubic gravity
• Aspects of general higher-order gravities
• Geometric Inflation
• NUTs and bolts beyond Lovelock

Cited by in corpus (38)

• (Generalized) quasi-topological gravities at all orders
• Cosmology in cubic and $f(P)$ gravity
• Generalized quasi-topological gravities: the whole shebang
• Slowly rotating black holes in Einsteinian cubic gravity
• Electromagnetic Quasitopological Gravities
• A note on the dynamical features for the extended $f(P)$ cubic gravity
• On the strong coupling of Einsteinian Cubic Gravity and its generalisations
• On the classification of Generalized Quasitopological Gravities
• Higher-curvature Gravities from Braneworlds and the Holographic c-theorem
• Anisotropic instability in a higher order gravity theory
• Aspects of Geometric Inflation
• Novel higher-curvature variations of $R^2$ inflation
• Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity
• Holographic Studies of The Generic Massless Cubic Gravities
• Analytically Approximation Solution to Einstein-Cubic Gravity
• Excluding static and spherically symmetric black holes in Einsteinian cubic gravity with unsuppressed higher-order curvature terms
• On the viability of the evolution of the universe with Geometric Inflation
• Tachyonic cosmology with cubic contractions of the Riemann tensor
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• Inflationary predictions of Geometric Inflation
• Holographic explorations of regular black holes in pure gravity
• Dark effects in $f(R,P)$ gravity
• Derive Lovelock Gravity from String Theory in Cosmological Background
• Singularity resolution and inflation from an infinite tower of regularized curvature corrections
• A unified geometric description of the Universe: from inflation to late-time acceleration without an inflaton nor a cosmological constant
• Slowly rotating black holes in Quasi-topological gravity
• On the quantum origin of inflation in the geometric inflation model
• Small free field inflation in higher curvature gravity
• A new approach to $P-V$ phase transitions: Einstein gravity and holographic type dark energy
• De Sitter geometric inflation from dynamical singularities
• On regular charged black holes in three dimensions
• Thermodynamics of a transient phantom scenario
• Modified Friedmann equations and non-singular cosmologies in $d=4$ non-polynomial quasi-topological gravities
• Cosmology with Higher-Derivative Gravities
• Cosmological Weyl-Einsteinian-Cubic Gravity as a Gauge Theory of Gravity
• Signatures of cubic gravity in the strong regime
• Quantum Einsteinian Cubic Cosmology
• First-order phase transitions and cosmic evolution: thermodynamic approach to generalized holographic dark energy