Towards numerical relativity in scalar Gauss-Bonnet gravity: 
3+1
 decomposition beyond the small-coupling limit

Abstract In this work, we study a generalization of the coupled Sachdev-Ye-Kitaev (SYK) model with U(1) charge conservations. The model contains two copies of the complex SYK model at different chemical potentials, coupled by a direct hopping term. In the zero-temperature and small coupling limit with small averaged chemical potential, the ground state is an eternal wormhole connecting two sides, with a specific charge Q = 0, which is equivalent to a thermofield double state. We derive the conformal Green’s functions and determine corresponding IR parameters. At higher chemical potential, the system transit into the black hole phase. We further derive the Schwarzian effective action and study its quench dynamics. Finally, we compare numerical results with the analytical predictions.

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Nonstandard solutions for a perturbed nonlinear Schrödinger system with small coupling coefficients

Mathematische Nachrichten ◽

10.1002/mana.202000121 ◽

2021 ◽

Author(s):

Xiaoming An ◽

Chunhua Wang

Keyword(s):

Coupling Coefficients ◽

Nonlinear Schrödinger ◽

Small Coupling ◽

Nonlinear Schrödinger System ◽

Schrödinger System

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Gravitational lensing in 4-D Einstein–Gauss–Bonnet gravity in the presence of plasma

Physics of the Dark Universe ◽

10.1016/j.dark.2021.100798 ◽

2021 ◽

Vol 32 ◽

pp. 100798

Author(s):

Gulmina Zaman Babar ◽

Farruh Atamurotov ◽

Abdullah Zaman Babar

Keyword(s):

Gravitational Lensing ◽

Bonnet Gravity

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

Journal of High Energy Physics ◽

10.1007/jhep02(2021)173 ◽

2021 ◽

Vol 2021 (2) ◽

Cited By ~ 3

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.

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Up-down instability of binary black holes in numerical relativity

Physical Review D ◽

10.1103/physrevd.103.064003 ◽

2021 ◽

Vol 103 (6) ◽

Author(s):

Vijay Varma ◽

Matthew Mould ◽

Davide Gerosa ◽

Mark A. Scheel ◽

Lawrence E. Kidder ◽

...

Keyword(s):

Black Holes ◽

Numerical Relativity ◽

Binary Black Holes

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Magnetic-field effects on p-wave phase transition in Gauss–Bonnet gravity

International Journal of Modern Physics A ◽

10.1142/s0217751x14500948 ◽

2014 ◽

Vol 29 (20) ◽

pp. 1450094 ◽

Cited By ~ 11

Author(s):

Ya-Bo Wu ◽

Jun-Wang Lu ◽

Yong-Yi Jin ◽

Jian-Bo Lu ◽

Xue Zhang ◽

...

Keyword(s):

Magnetic Field ◽

Phase Transition ◽

P Wave ◽

Vector Model ◽

Magnetic Field Effects ◽

Complex Vector ◽

Bonnet Gravity ◽

Yang Mills ◽

Wave Phase ◽

Lowest Landau Level

In the probe limit, we study the holographic p-wave phase transition in the Gauss–Bonnet gravity via numerical and analytical methods. Concretely, we study the influences of the external magnetic field on the Maxwell complex vector model in the five-dimensional Gauss–Bonnet–AdS black hole and soliton backgrounds, respectively. For the two backgrounds, the results show that the magnetic field enhances the superconductor phase transition in the case of the lowest Landau level, while the increasing Gauss–Bonnet parameter always hinders the vector condensate. Moreover, the Maxwell complex vector model is a generalization of the SU(2) Yang–Mills model all the time. In addition, the analytical results backup the numerical results. Furthermore, this model might provide a holographic realization for the QCD vacuum instability.

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