Volume 130, Number 1, April 2020
|Number of page(s)||5|
|Published online||12 May 2020|
Novel cosmological and black hole solutions in Einstein and higher-derivative gravity in two dimensions
1 Department of Physics, Nagoya University - Nagoya 464-8602, Japan
2 Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University Nagoya 464-8602, Japan
3 ICREA - Passeig Luis Companys, 23, 08010 Barcelona, Spain
4 Institute of Space Sciences (IEEC-CSIC) - C. Can Magrans s/n, 08193 Barcelona, Spain
5 Lab. Theor. Cosm., TUSUR - 634050 Tomsk, Russia
Received: 4 April 2020
Accepted: 20 April 2020
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 , 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.
PACS: 04.50.Kd – Modified theories of gravity / 04.70.Bw – Classical black holes / 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics
© EPLA, 2020
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