Fenómeno de lentes gravitacionales en el espacio-tiempo de Janis, Newman y Winicour

Abstract

In the present work we integrate the null geodesic equations of the light cone of an arbitrary point in the Janis, Newman and Winicour space-time and we construct, in an exact way, the equations that describe the gravitational lensing phenomenon. We show that under certain conditions our exact results reduce to the thin lens equation. Furthermore, we use our exact equations to reobtain the results obtained by Virbhadra and Ellis by using their strong field limit equation\,\cite{VirbhadraIV}. That is, we show that for, $0 < q/M < \sqrt{3}$, the gravitational lensing phenomenon in the JNW solutión is qualitatively similar to that due to a Schwarzschild black hole and that for, $q/M > \sqrt{3}$, the gravitational lensing phenomenon, in these two solutions, is totally different.