62 research outputs found
Search of wormholes in different dimensional non-commutative inspired space-time with lorentzian distribution
In this paper we are searching whether the wormhole solutions exists in
different dimensional non- commutative inspired spacetimes. It is well known
that the noncommutativity of the space is an outcome of string theory and it
replaced the usual point like object by a smeared object. Here we have chosen
Lorentzian distribution as the density function in the noncommutative inspired
space- time. We have observed that the wormhole solutions exist only in four
and five dimension, however, higher than fine dimension no wormhole exists. For
five dimensional spacetime, we get a wormhole for a restricted region. In usual
four dimensional spacetime, we get a stable wormhole which is asymptotically
flat.Comment: 13 pages,23 figures, Accepted in European Physical Journal
The Dark Energy Star and Stability analysis
We have proposed a new model of dark energy star consisting of five zones
namely, solid core of constant energy density, the thin shell between core and
interior, an inhomogeneous interior region with anisotropic pressures, thin
shell and the exterior vacuum region. We have discussed various physical
properties. The model satisfies all the physical requirements. The stability
condition under small linear perturbation has also been discussed.Comment: 11 pages,16 figures, Accepted in European Physical Journal
Compact star in gravity with Tolman-Kuchowicz metric potential
Employing gravity, where is the torson, we have developed a new
model of an anisotropic compact star in this work. Tolman-Kuchowicz (TK) metric
potential has been used to solve the set of field equations. Furthermore, the
matching conditions for interior and exterior geometry have been discussed. We
have considered observation data of the compact star LMC X-4 and analyzed
thermodynamical properties (density, pressure, equation of state parameter,
square speed of sound, and equilibrium condition) analytically and graphically
to test the validity of the solution. The compact star is found to meet the
energy conditions. Through the causality condition and Herrera's cracking
concept, the stability analysis of the present model has been presented and it
confirms the physical acceptability of the solution. It has been shown that the
obtained interior solutions for compact stars are consistent with all necessary
physical criterions and therefore relevant as well as physically acceptable.Comment: 14 pages, Accepted for publication in Chinese Journal of Physic
Relativistic isotropic stellar model in gravity with Durgapal- IV Metric
In this work, a new static, non-singular, spherically symmetric fluid model
has been obtained in the background of gravity. Here we consider the
isotropic metric potentials of Durgapal-IV [M.C. Durgapal, J. Phys. A {\bf 15}
2637 (1982)] solution as input to handle the Einstein field equations in
environment. For different coupling parameter values of ,
graphical representations of the physical parameters have been demonstrated to
describe the analytical results more clearly. It should be highlighted that the
results of General Relativity (GR) are given by . With the use of both
analytical discussion and graphical illustrations, a thorough comparison of our
results with the GR outcomes is also covered. The numerical values of the
various physical attributes have been given for various coupling parameter
values in order to discuss the impact of this parameter. Here we apply
our solution by considering the compact star candidate LMC X-4 [M.L. Rawls et
al., Astrophys. J. {\bf 730} 25 (2011)] with mass
and radius km. respectively, to analyze both
analytically and graphically. To confirm the physical acceptance of our model,
we discuss certain physical properties of our obtained solution such as energy
conditions, causality, hydrostatic equilibrium through a modified
Tolman-Oppenheimer-Volkoff (TOV) conservation equation, pressure-density ratio,
etc. Also, our solution is well-behaved and free from any singularity at the
center. From our present study, it is observed that all of our obtained results
fall within the physically admissible regime, indicating the viability of our
model.Comment: 17 pages, 9 figures, 2 tables. arXiv admin note: text overlap with
arXiv:2212.0781
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