Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory

@article{65954,
   author = {Turimov, Bobur and Abdujabbarov, Ahmadjon and Ahmedov, Bobomurat and Stuchlík, Zdeněk},
   article_number = {1},
   doi = {http://dx.doi.org/10.3390/particles5010001},
   keywords = {Einstein-scalar field theory; wormhole solution; scalar field; curvature invariant},
   language = {eng},
   issn = {2571-712X},
   journal = {PARTICLES},
   title = {Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory},
   url = {https://www.mdpi.com/2571-712X/5/1/1},
   volume = {5},
   year = {2022}
}

TY  - JOUR
ID  - 65954
AU  - Turimov, Bobur - Abdujabbarov, Ahmadjon - Ahmedov, Bobomurat - Stuchlík, Zdeněk
PY  - 2022
TI  - Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory
JF  - PARTICLES
VL  - 5
IS  - 1
SP  - 1-11
EP  - 1-11
SN  - 2571712X
KW  - Einstein-scalar field theory
KW  - wormhole solution
KW  - scalar field
KW  - curvature invariant
UR  - https://www.mdpi.com/2571-712X/5/1/1
N2  - 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.
ER  - 

TURIMOV, Bobur, Ahmadjon ABDUJABBAROV, Bobomurat AHMEDOV a Zdeněk STUCHLÍK. Generic Three-Parameter Wormhole Solution in Einstein-Scalar Field Theory. \textit{PARTICLES}. 2022, roč.~5, č.~1, s.~1-11. ISSN~2571-712X. Dostupné z: https://dx.doi.org/10.3390/particles5010001.