arXiv subjects
Publications and source records attributed to Alireza Azizallahi.
We derive exact form of accelerating Fisher-Janis-Newman-Winicour (FJNW) metric by a simple perturbative method. We also argue that by using Buchdahl transformations one can obtain the same accelerating FJNW metric. We investigate singularities of the accelerating FJNW metric and study their effects on global and local structures of this spacetime. We also study geodesics and stability of circular orbits.
We investigate a class of three parameter metrics that contain both the $γ$-metric and Janis-Newman-Winicour (JNW) metric at special values of the parameters. To see the effect of the scalar field we derive some properties of this class of metrics such as curvature invariants, the effective potential, and epicyclic frequencies. We also introduce the five and higher dimensional forms of the class of metrics in the presence of a scalar field.
We introduce five and higher dimensional $γ$-metrics. The higher dimensional metrics are exact solutions of the vacuum field equations and represent new types of singularities. For dimensions $d>5$ we have obtained $γ$-metrics in flat coordinates. We obtain singularities of metrics and for a better understanding of geometrical and physical properties of the five dimensional metric, stable circular orbits are determined by means of the effective potential. Effect of the deformed parameter ($γ$) on redshift of the $γ$-metric are calculated. Interior solution for the five-dimensional $γ$-metric is also obtained.