Novel cosmological and black hole solutions in Einstein and higher-derivative gravity in two dimensions

Abstract

We consider cosmological and black hole solutions in the Einstein and higher-derivative gravity in two dimensions where the theory is formulated first in $D$ dimensions. In the limit that $D$ tends to $2$ with simultaneous singular rescaling of the scalar curvature coupling constant as $1/(D-2)$, we get the novel Einstein and higher-derivative gravity. Due to non-trivial contribution of scalar curvature which is topological invariant in exactly two dimensions to gravitational equations in the two-dimensional limit one gets novel cosmological and black hole solutions.In particular, the de Sitter and radiation-dominated universe and the Schwarzschild-de Sitter and Schwarzschild-anti-de Sitter black hole solutions are obtained and their properties are discussed.

arXiv commentLaTeX 7 pages, to appear in EPL, references are added

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Cited by in corpus (23)

• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• A note on the novel 4D Einstein-Gauss-Bonnet gravity
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Observational Constraints on the Regularized 4D Einstein-Gauss-Bonnet Theory of Gravity
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Theoretical and observational constraints on regularized 4$D$ Einstein-Gauss-Bonnet gravity
• Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
• K-field kinks in two-dimensional dilaton gravity
• Traversable Thin-shell Wormhole in the 4D Einstein-Gauss-Bonnet Theory
• Asymptotic structure of Einstein-Gauss-Bonnet theory in lower dimensions
• On the gravitational collapse in 4-dimensional Einstein-Gauss-Bonnet gravity
• Generalized black hole entropy in two dimensions
• Scalar perturbation of gravitating double-kink solutions
• Real Classical Geometry with arbitrary deficit parameter(s) $\alpha {(}_I)$ in Deformed Jackiw-Teitelboim Gravity
• Two-dimensional Lifshitz-like AdS black holes in $F(R)$ gravity
• Topological Corrections and Conformal Backreaction in the Einstein Gauss-Bonnet/Weyl Theories of Gravity at D=4
• General Solutions of Einstein Gravity at $D\to 2$
• Einstein Gauss-Bonnet Theories as Ordinary, Wess-Zumino Conformal Anomaly Actions
• Primordial black holes in a dimensionally oxidizing Universe
• Holographic JT gravity with quartic couplings
• Exploring the Applicability of Birkhoff's Theorem in Jackiw-Teitelboim Gravity