TY - JOUR

T1 - Tetrad formalism in the solution of spherically symmetric spacetime in general relativity

AU - Wulandari, Nadya E.S.

AU - Subagyo, Bintoro A.

AU - Rahmani, M. H.

N1 - Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

PY - 2024

Y1 - 2024

N2 - Spherically symmetric solutions in general relativity are the most fundamental solutions to the Einstein field equation. The first exact solution of the Einstein field equation is the spherically symmetric solution given by the Schwarzschild metric, as easily found in any standard textbook on general relativity. The FLRW (Friedmann-Lemaitre-Robertson-Walkers) metric is another spherically symmetric solution of Einstein's equation describing the standard model in Cosmology. The standard approach to solving Einstein's equations is by considering the metric. However, we can also adopt a tetrad-based method or tetrad formalism. We review these two solutions by the tetrad formalism as an alternative approach. In addition, we give some more cases, including the cosmological constant and the Taub-NUT metric.

AB - Spherically symmetric solutions in general relativity are the most fundamental solutions to the Einstein field equation. The first exact solution of the Einstein field equation is the spherically symmetric solution given by the Schwarzschild metric, as easily found in any standard textbook on general relativity. The FLRW (Friedmann-Lemaitre-Robertson-Walkers) metric is another spherically symmetric solution of Einstein's equation describing the standard model in Cosmology. The standard approach to solving Einstein's equations is by considering the metric. However, we can also adopt a tetrad-based method or tetrad formalism. We review these two solutions by the tetrad formalism as an alternative approach. In addition, we give some more cases, including the cosmological constant and the Taub-NUT metric.

UR - http://www.scopus.com/inward/record.url?scp=85197213161&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/2780/1/012029

DO - 10.1088/1742-6596/2780/1/012029

M3 - Conference article

AN - SCOPUS:85197213161

SN - 1742-6588

VL - 2780

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012029

T2 - 3rd International Symposium on Physics and Applications 2023, ISPA 2023

Y2 - 22 November 2023 through 23 November 2023

ER -