Generalized Pure Lovelock Gravity

Abstract

We present a generalization of the n-dimensional (pure) Lovelock Gravity theory based on an enlarged Lorentz symmetry. In particular, we propose an alternative way to introduce a cosmological term. Interestingly, we show that the usual pure Lovelock gravity is recovered in a matter-free configuration. The five and six-dimensional cases are explicitly studied.

v2, 16 pages, references and comments added

References in corpus (51)

• Gauss-Bonnet Black Holes in AdS Spaces
• Viscosity Bound and Causality Violation
• Born-Infeld-Einstein Actions?
• Black Hole Scan
• Black Holes in Quasi-topological Gravity
• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Topological black holes in the dimensionally continued gravity
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Holographic studies of quasi-topological gravity
• Einsteinian cubic gravity
• Black Holes in Pure Lovelock Gravities
• Four-dimensional black holes in Einsteinian cubic gravity
• Generalized quasi-topological gravity
• Black holes in Einsteinian cubic gravity
• Standard General Relativity from Chern-Simons Gravity
• Higher Dimensional Gravity, Propagating Torsion and AdS Gauge Invariance
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• On black holes in higher-derivative gravities
• Generalized cosmological term from Maxwell symmetries
• Conformal couplings of a scalar field to higher curvature terms
• On the static Lovelock black holes
• Hairy black holes sourced by a conformally coupled scalar field in D dimensions
• 2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models
• Even-dimensional General Relativity from Born-Infeld gravity
• Chern-Simons and Born-Infeld gravity theories and Maxwell algebras type
• Lie-algebra expansions, Chern-Simons theories and the Einstein-Hilbert lagrangian
• A generalized action for $\left(2+1\right)$-dimensional Chern--Simons gravity
• Chern-Simons Forms in Gravitation Theories
• Generating infinite-dimensional algebras from loop algebras by expanding Maurer Cartan forms
• Lovelock theory and the AdS/CFT correspondence
• Semi-simple extension of the (super)Poincaré algebra
• Evolution of Spacetime arises due to the departure from Holographic Equipartition in all Lanczos-Lovelock Theories of Gravity
• N=1 Supergravity and Maxwell superalgebras
• N=1 and N=2 pure supergravities on a manifold with boundary
• Dynamical structure of Pure Lovelock gravity
• Maxwell Superalgebras and Abelian Semigroup Expansion
• Pure Lovelock gravity and Chern-Simons theory
• Generalized Poincare algebras and Lovelock-Cartan gravity theory
• Geometrical variables with direct thermodynamic significance in Lanczos-Lovelock gravity
• Chern-Simons Supergravity in D=3 and Maxwell superalgebra
• Chemical potential driven phase transition of black holes in AdS space
• The different phases of hairy black holes in AdS5 space
• Thermodynamical universality of the Lovelock black holes
• New family of Maxwell like algebras
• On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
• A Novel Derivation of the Boundary Term for the Action in Lanczos-Lovelock Gravity
• Lovelock gravities from Born-Infeld gravity theory
• Inönü-Wigner Contraction and $D=2+1$ Supergravity
• On the Supersymmetric Extension of Gauss-Bonnet like Gravity
• Canonical Analysis and Stability of Lanczos-Lovelock Gravity
• Ricci cubic gravity in d dimensions, gravitons and SAdS/Lifshitz black holes

Cited by in corpus (20)

• NUTs and bolts beyond Lovelock
• On the Maxwell supergravity and flat limit in 2+1 dimensions
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• Horndeski theories confront the Gravity Probe B experiment
• Non-Relativistic Gravity Theory based on an Enlargement of the Extended Bargmann Algebra
• $\mathcal{N}$-extended Maxwell supergravities as Chern-Simons theories in three spacetime dimensions
• Three-dimensional non-relativistic extended supergravity with cosmological constant
• On the supersymmetry invariance of flat supergravity with boundary
• On the supersymmetric extension of asymptotic symmetries in three spacetime dimensions
• Three-dimensional Maxwellian Extended Newtonian gravity and flat limit
• Semi-simple enlargement of the ${\mathfrak{bms}}_3$ algebra from a $\mathfrak{so}(2,2)\oplus \mathfrak{so}(2,1)$ Chern-Simons theory
• Generalized AdS-Lorentz deformed supergravity on a manifold with boundary
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• On Stabilization of Maxwell-BMS Algebra
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Thin-shell Wormholes with Ordinary Matter in Pure Gauss-Bonnet Gravity
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• Higher-Curvature Gravity, Black Holes and Holography
• On the geometric approach to the boundary problem in supergravity
• Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant