Geometry of deformed black holes. II. Schwarzschild hole surrounded by a Bach-Weyl ring

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F16%3A10335512" target="_blank" >RIV/00216208:11320/16:10335512 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1103/PhysRevD.94.044007" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.94.044007</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevD.94.044007" target="_blank" >10.1103/PhysRevD.94.044007</a>

Result language

angličtina

Original language name

Geometry of deformed black holes. II. Schwarzschild hole surrounded by a Bach-Weyl ring

Original language description

We continue to study the response of black-hole space-times on the presence of additional strong sources of gravity. Restricting ourselves to static and axially symmetric (electro) vacuum exact solutions of Einstein's equations, we first considered the Majumdar-Papapetrou solution for a binary of extreme black holes in a previous paper, while here we deal with a Schwarzschild black hole surrounded by a concentric thin ring described by the Bach-Weyl solution. The geometry is again revealed on the simplest invariants determined by the metric (lapse function) and its gradient (gravitational acceleration), and by curvature (Kretschmann scalar). Extending the metric inside the black hole along null geodesics tangent to the horizon, we mainly focus on the black-hole interior (specifically, on its sections at constant Killing time) where the quantities behave in a way indicating a surprisingly strong influence of the external source. Being already distinct on the level of potential and acceleration, this is still more pronounced on the level of curvature: for a sufficiently massive and/or nearby (small) ring, the Kretschmann scalar even becomes negative in certain toroidal regions mostly touching the horizon from inside. Such regions have been interpreted as those where magnetic-type curvature dominates, but here we deal with space-times which do not involve rotation and the negative value is achieved due to the electric-type components of the Riemann/Weyl tensor. The Kretschmann scalar also shapes rather nontrivial landscapes outside the horizon.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

—

Project

<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PHYSICAL REVIEW D

ISSN

2470-0010

e-ISSN

—

Volume of the periodical

94

Issue of the periodical within the volume

4

Country of publishing house

US - UNITED STATES

Number of pages

22

Pages from-to

—

UT code for WoS article

000380962600003

EID of the result in the Scopus database

2-s2.0-84982855384