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...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
|
| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/14/5/900 |
| _version_ | 1797495144204730368 |
|---|---|
| author | Irina Radinschi Theophanes Grammenos Andromahi Spanou Surajit Chattopadhyay Marius Mihai Cazacu |
| author_facet | Irina Radinschi Theophanes Grammenos Andromahi Spanou Surajit Chattopadhyay Marius Mihai Cazacu |
| author_sort | Irina Radinschi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T01:44:14Z |
| format | Article |
| id | doaj.art-6d2646da8ab846f38cdc1bbdd629a938 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T01:44:14Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-6d2646da8ab846f38cdc1bbdd629a9382023-11-23T13:17:54ZengMDPI AGSymmetry2073-89942022-04-0114590010.3390/sym14050900Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time GeometryIrina Radinschi0Theophanes Grammenos1Andromahi Spanou2Surajit Chattopadhyay3Marius Mihai Cazacu4Department of Physics, ”Gheorghe Asachi” Technical University, 700050 Iasi, RomaniaDepartment of Civil Engineering, University of Thessaly, 383 34 Volos, GreeceSchool of Applied Mathematics and Physical Sciences, National Technical University of Athens, 157 80 Athens, GreeceDepartment of Mathematics, Amity University, Kolkata 700135, West Bengal, IndiaDepartment of Physics, ”Gheorghe Asachi” Technical University, 700050 Iasi, RomaniaThe 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.https://www.mdpi.com/2073-8994/14/5/900Simpson–Visser static solutionenergy–momentum localizationsymmetric Landau–Lifshitz energy–momentum complexsymmetric Weinberg energy–momentum complex |
| spellingShingle | Irina Radinschi Theophanes Grammenos Andromahi Spanou Surajit Chattopadhyay Marius Mihai Cazacu Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry Symmetry Simpson–Visser static solution energy–momentum localization symmetric Landau–Lifshitz energy–momentum complex symmetric Weinberg energy–momentum complex |
| title | Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry |
| title_full | Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry |
| title_fullStr | Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry |
| title_full_unstemmed | Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry |
| title_short | Landau–Lifshitz and Weinberg Energy Distributions for the Static Regular Simpson–Visser Space-Time Geometry |
| title_sort | landau lifshitz and weinberg energy distributions for the static regular simpson visser space time geometry |
| topic | Simpson–Visser static solution energy–momentum localization symmetric Landau–Lifshitz energy–momentum complex symmetric Weinberg energy–momentum complex |
| url | https://www.mdpi.com/2073-8994/14/5/900 |
| work_keys_str_mv | AT irinaradinschi landaulifshitzandweinbergenergydistributionsforthestaticregularsimpsonvisserspacetimegeometry AT theophanesgrammenos landaulifshitzandweinbergenergydistributionsforthestaticregularsimpsonvisserspacetimegeometry AT andromahispanou landaulifshitzandweinbergenergydistributionsforthestaticregularsimpsonvisserspacetimegeometry AT surajitchattopadhyay landaulifshitzandweinbergenergydistributionsforthestaticregularsimpsonvisserspacetimegeometry AT mariusmihaicazacu landaulifshitzandweinbergenergydistributionsforthestaticregularsimpsonvisserspacetimegeometry |