يافتن حل‌هاي باردار معادلات ميدان اينشتين به كمك تبديلات هريسون

In this thesis, we begin by reviewing the Einstein field equations an‎d the general methods used to obtain their solutions. We then introduce the Ernst formulation, which allows the Einstein–Maxwell equations of motion to be expressed as two coupled complex equations in terms of the complex Ernst potentials. From these equations, the Harrison transformations can be derived.The main objective of this work is to construct charged solutions of the Einstein field equations in the presence of a massless scalar field using these transformations. In particular, we derive the charged extensions of the Kerr an‎d Fisher–Janis–Newman–Winicour (FJNW) metrics. Furthermore, we present the static charged FJNW metric coupled to a scalar field in an arbitrary number of dimensions. Finally, we analyze several physical properties of the resulting charged solutions in four- an‎d five-dimensional spacetimes.

بهروز ميرزا

صديقه سجاديان

حامد بخشيان , احمد شيرزاد