Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry

The symmetric Landau–Lifshitz and Weinberg energy–momentum complexes are utilized in order to determine the energy distribution in a four-dimensional, static and spherically symmetric regular Simpson–Visser space-time geometry. For different values of the metric parameter <i>a</i>, the s...

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Bibliographic Details
Main Authors: Irina Radinschi, Theophanes Grammenos, Andromahi Spanou, Surajit Chattopadhyay, Marius Mihai Cazacu
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/14/5/900
Description
Summary:The symmetric Landau–Lifshitz and Weinberg energy–momentum complexes are utilized in order to determine the energy distribution in a four-dimensional, static and spherically symmetric regular Simpson–Visser space-time geometry. For different values of the metric parameter <i>a</i>, the static Simpson–Visser space-time geometry corresponds to the Schwarzschild black hole solution, to a regular black hole solution with a one-way spacelike throat, to a one-way wormhole solution with an extremal null throat, or to a traversable Morris–Thorne wormhole solution. Both symmetric prescriptions yield a zero momentum, while the energy distributions calculated have an expression dependent on the mass <i>m</i>, the radial coordinate <i>r</i>, and the metric parameter <i>a</i>. Some special limiting cases of the results derived are considered, while a possible astrophysical application to questions of gravitational lensing is indicated.
ISSN:2073-8994