English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In the context of this dissertation, we study the emergence of black-stringand black-hole solutions in the framework of five-dimensional braneworldmodels. The main motivation for studying such theories stems from theRandall-Sundrum model, which was formulated by Lisa Randall and Raman Sundrumback in 1999. We investigate thoroughly the physical characteristics ofanalytic solutions which concern both black strings and five-dimensionallocalized black holes. To be more precise, the black-string solutions emerge inthe context of a five-dimensional scalar-tensor theory, where the braneline-element is found to describe a Schwarzschild-(anti-)de Sitter spacetime.The cases of de Sitter, anti-de Sitter and Minkowski branes are examinedseparately and in great detail. As far as the five-dimensional black holes areconcerned, at first, we present an "algorithm" that one may use in order toconstruct from first principles the geometry of analytic and exponentiallylocalized five-dimensional braneworld black holes. In each case, the point-likesingularity of the black hole lies entirely on the 3-brane, while its eventhorizon is exponentially localized close to the 3-brane thus exhibiting apancake shape. In the first case, the induced line-element on the brane assumesthe form of the Schwarzschild solution while the bulk geometry is effectivelyAdS$_5$ outside the horizon. In the second case, the induced brane geometry isdescribed by the Reissner-Nordstr\"{o}m-(A)dS line-element, where a carefulclassification of the horizons takes place as well. In both cases, the derivedgeometry is supported by an anisotropic fluid in the bulk described only by twoindependent components, the energy density and tangential pressure, whereas nomatter needs to be introduced on the brane for its consistent embedding in thebulk.

Five-dimensional gravitational brane-world models: Solutions for black strings and black holes