Black string corrections in variable tension braneworld scenarios

Abstract

Braneworld models with variable tension are investigated, and the corrections on the black string horizon along the extra dimension are provided. Such corrections are encrypted in additional terms involving the covariant derivatives of the variable tension on the brane, providing profound consequences concerning the black string horizon variation along the extra dimension, near the brane. The black string horizon behavior is shown to be drastically modified by the terms corrected by the brane variable tension. In particular, a model motivated by the phenomenological interesting case regarding Eotvos branes is investigated. It forthwith provides further physical features regarding variable tension braneworld scenarios, heretofore concealed in all previous analysis in the literature. All precedent analysis considered uniquely the expansion of the metric up to the second order along the extra dimension, what is able to evince solely the brane variable tension absolute value. Notwithstanding, the expansion terms aftermath, further accomplished in this paper from the third order on, elicits the successive covariant derivatives of the brane variable tension, and their respective coupling with the extrinsic curvature, the Weyl tensor, and the Riemann and Ricci tensors, as well as the scalar curvature. Such additional terms are shown to provide sudden modifications in the black string horizon in a variable tension braneworld scenario

12 pages, 5 figures, accepted in PRD

References in corpus (8)

• Friedmann branes with variable tension
• Notes on the Two-brane Model with Variable Tension
• Varying couplings in the early universe: correlated variations of $\alpha$ and $G$
• Transient Pulses from Exploding Primordial Black Holes as a Signature of an Extra Dimension
• Inflation and late time acceleration in braneworld cosmological models with varying brane tension
• Braneworld Remarks in Riemann-Cartan Manifolds
• Two-branes with variable tension model and the effective Newtonian constant
• Gravitational constraints of dS branes in AdS Einstein-Brans-Dicke bulk

Cited by in corpus (2)

• Casadio-Fabbri-Mazzacurati Black Strings and Braneworld-induced Quasars Luminosity Corrections
• Black holes in realistic branes: black string-like objects?