scholarly journals Nonlinearly ghost-free higher curvature gravity

2020 ◽  
Vol 102 (12) ◽  
Author(s):  
Katsuki Aoki
Keyword(s):  
Higher Curvature Gravity

scholarly journals Quantum extremal islands made easy. Part III. Complexity on the brane

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Juan Hernandez ◽  
Robert C. Myers ◽  
Shan-Ming Ruan
Keyword(s):  
Holographic Model ◽  
Bonnet Gravity ◽  
Higher Curvature Gravity ◽  
Theories Of Gravity

Abstract We examine holographic complexity in the doubly holographic model introduced in [1, 2] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in the island phase. Exploiting the Fefferman-Graham expansion of the metric and other geometric quantities near the brane, we derive the leading contributions to the complexity and interpret these in terms of the generalized volume of the island derived from the induced higher-curvature gravity action on the brane. Motivated by these results, we propose a generalization of the CV proposal for higher curvature theories of gravity. Further, we provide two consistency checks of our proposal by studying Gauss-Bonnet gravity and f(ℛ) gravity in the bulk.

scholarly journals Solving higher curvature gravity theories

2016 ◽  
Vol 76 (10) ◽  
Author(s):  
Sumanta Chakraborty ◽  
Soumitra SenGupta
Keyword(s):  
Higher Curvature Gravity ◽  
Gravity Theories

scholarly journals AdS/BCFT correspondence for higher curvature gravity: an example

2012 ◽  
Vol 2012 (6) ◽  
Author(s):  
Yongjoon Kwon ◽  
Soonkeon Nam ◽  
Jong-Dae Park ◽  
Sang-Heon Yi
Keyword(s):  
Higher Curvature Gravity

scholarly journals Increase of black hole entropy in higher curvature gravity

1995 ◽  
Vol 52 (6) ◽  
pp. 3518-3528 ◽  
Author(s):  
Ted Jacobson ◽  
Gungwon Kang ◽  
Robert C. Myers
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Higher Curvature Gravity

LANCZOS–LOVELOCK–CARTAN GRAVITY FROM CLIFFORD-SPACE GEOMETRY

2013 ◽  
Vol 10 (06) ◽  
pp. 1350019 ◽  
Author(s):  
CARLOS CASTRO
Keyword(s):  
Gravitational Field ◽  
Variational Principle ◽  
Higher Dimensions ◽  
Black Brane ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Gravitational Theories ◽  
Higher Curvature Gravity ◽  
Higher Order Corrections ◽  
Curvature Tensors

A rigorous construction of Clifford-space (C-space) gravity is presented which is compatible with the Clifford algebraic structure and permits the derivation of the expressions for the connections with torsion in C-spaces. The C-space generalized gravitational field equations are derived from a variational principle based on the extension of the Einstein–Hilbert–Cartan action. We continue by arguing how Lanczos–Lovelock–Cartan (LLC) higher curvature gravity with torsion can be embedded into gravity in C-spaces and suggest how this might also occur for extended gravitational theories based on f(R), f(Rμν), … actions, for polynomial-valued functions. In essence, the LLC curvature tensors appear as Ricci-like traces of certain components of the C-space curvatures. Torsional gravity is related to higher-order corrections of the bosonic string-effective action. In the torsionless case, black-strings and black-brane metric solutions in higher dimensions D > 4 play an important role in finding specific examples of solutions to LL gravity.

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