Einstein-Gauss-Bonnet black strings

Abstract

We construct uniform black-string solutions in Einstein-Gauss-Bonnet gravity for all dimensions $d$ between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation from pure Einstein gravity. Nonperturbative solutions are constructed by solving numerically the equations of the model. The Gregory-Laflamme instability of the black strings is explored via linearized perturbation theory. Our results indicate that new qualitative features occur for $d=6$, in which case stable configurations exist for large enough values of the Gauss-Bonnet coupling constant. For other dimensions, the black strings are dynamically unstable and have also a negative specific heat. We argue that this provides an explicit realization of the Gubser-Mitra conjecture, which links local dynamical and thermodynamic stability. Nonuniform black strings in Einstein-Gauss-Bonnet theory are also constructed in six spacetime dimensions.

33 pages, 11 figures

References in corpus (14)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• The Lovelock Black Holes
• (In)stability of D-dimensional black holes in Gauss-Bonnet theory
• Higher order gravity theories and their black hole solutions
• On black strings & branes in Lovelock gravity
• New nonuniform black string solutions
• Black objects in the Einstein-Gauss-Bonnet theory with negative cosmological constant and the boundary counterterm method
• Nonuniform black strings in various dimensions
• Black Holes in Higher-Dimensional Gravity
• On the stability of AdS black strings
• Harrison transformation and charged black objects in Kaluza-Klein theory
• Generalized Weyl solutions in d=5 Einstein-Gauss-Bonnet theory: the static black ring
• U-Duality and the Compactified Gauss-Bonnet Term
• Negative modes of Schwarzschild black hole in Einstein-Gauss-Bonnet Theory

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• Homogeneous Black Strings in Einstein-Gauss-Bonnet with Horndeski hair and beyond
• Einstein-Gauss-Bonnet Black Rings at Large $D$
• Instability of black strings in third-order Lovelock theory
• Charged black strings and black branes in Lovelock theories
• Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity
• Perturbations of Gauss-Bonnet Black Strings in Codimension-2 Braneworlds
• Einstein-Gauss-Bonnet black strings at large $\alpha$
• $R^2$ corrections to the black string instability and the boosted black string
• Compactified extra dimension and entanglement island as clues to quantum gravity
• Gauss-Bonnet black holes in a special anisotropic scaling spacetime
• The Black hole Black string phase transition in Einstein-Gauss-Bonnet gravity
• Phase and stability of black strings in Einstein-Gauss-Bonnet theory at large D
• Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability
• Classical instability in Lovelock gravity