2016/05/30 by Regina Lukmanova, A. Khaibullina, Alina Khaibullina +8 · 14 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Constraint (computer-aided design) #Cosmology #Cosmology and Gravitation Theories #Dark energy #Energy condition #General relativity #Geometry #Gravitation #Imaging phantom #Mathematical physics #Mathematics #Metric expansion of space #Optics #Phantom energy #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Schwarzschild radius #Spacetime #Wormhole #gr-qc
paper · pdf · doi:10.1007/s12648-016-0874-1
published in Indian Journal of Physics 90(11), 1319-1323 (Springer Science+Business Media) · 10 pages, 3 figures, Indian J Phys 2016
openalex publication_date 2016/05/30 · arxiv created 2016/06/06 · arxiv updated 2016/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recently, it has been shown by Lobo, Parsaei and Riazi (LPR) that phantom energy with ω=pr/ρ<-1 could support phantom wormholes. Several classes of such solutions have been derived by them. While the inner spacetime is represented by asymptotically flat phantom wormhole that have repulsive gravity, it is most likely to be unstable to perturbations. Hence, we consider a situation, where a phantom wormhole is somehow trapped inside a Schwarzschild sphere across a thin shell. Applying the method developed by Garcia, Lobo and Visser (GLV), we shall exemplify that the shell can possess zones of stability depending on certain constraints. It turns out that zones corresponding to "force" constraint are more restrictive than those from the "mass" constraint. We shall also enumerate the interior energy content by using the gravitational energy integral proposed by Lynden-Bell, Katz and Bi% čák. It turns out that, even though the interior mass is positive, the integral implies repulsive energy. This is consistent with the phantom nature of interior matter.