TURIMOV, Bobur, Ahmadjon ABDUJABBAROV, Bobomurat AHMEDOV and Zdeněk STUCHLÍK. Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory. PARTICLES. 2022, vol. 5, No 1, p. 1-11. ISSN 2571-712X. Available from: https://dx.doi.org/10.3390/particles5010001.
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Basic information
Original name Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory
Authors TURIMOV, Bobur, Ahmadjon ABDUJABBAROV, Bobomurat AHMEDOV and Zdeněk STUCHLÍK (203 Czech Republic, belonging to the institution).
Edition PARTICLES, 2022, 2571-712X.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/22:A0000226
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.3390/particles5010001
UT WoS 000774366700001
Keywords in English Einstein-scalar field theory; wormhole solution; scalar field; curvature invariant
Tags FÚ, RIV23
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 1/2/2023 11:52.
Abstract
An exact analytical, spherically symmetric, three-parametric wormhole solution has been found in the Einstein-scalar field theory, which covers the several well-known wormhole solutions. It is assumed that the scalar field is massless and depends on the radial coordinate only. The relation between the full contraction of the Ricci tensor and Ricci scalar has been found as R alpha beta R alpha beta = R-2. The derivation of the Einstein field equations have been explicitly shown, and the exact analytical solution has been found in terms of the three constants of integration. The several wormhole solutions have been extracted for the specific values of the parameters. In order to explore the physical meaning of the integration constants, the solution has been compared with the previously obtained results. The curvature scalar has been determined for all particular solutions. Finally, it is shown that the general solution describes naked singularity characterized by the mass, the scalar quantity and the throat.
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