Gravitomagnetism and Gravitational Lens

In ？[1], we presented a solution to explain dark matter (DM) in the framework of linearized general relativity (GRL) without exotic matter. GRL adds a second component to the Newtonian field, similar to the magnetic field in Electromagnetism (EM), hereinafter called “gravitic field”. GRL leads to the Einstein-Maxwell equations which hare equivalent to the Maxwell equations of EM. The aim of ？[1] was to obtain the expression of the rotation speeds of galaxies far from their center. We then applied this expression to recent observations of the rotation speeds of the Milky Way (MW). This allowed us to obtain a curve in very good agreement with observation and to define the expected value of two gravitic fields (also called gravitomagnetic), the own gravitic field of MW and a uniform external gravitic field embedding MW due to the neighboring clusters of galaxies. In the following article, we will deduce the expression of the Einstein radius of the Einstein rings obtained by gravitational lensing on light rays in this same GRL framework without exotic matter. We will then apply this expression to recent observations on the JWST-ER1 object ？[3] ？[4]. Once again, we will obtain results that are very good in agreement with observation since we will find the expected stellar mass within the Einstein ring without the need for any exotic matter. In addition, the gravitic field of JWST-ER1g (the lensing galaxy) will be in agreement with the value of the gravitic field obtained for MW in ？[1]. This result goes against the criticism that claims that GRL cannot explain the deviation of light and, in particular, the gravitational lensing effect ？[2], and furthermore, consolidates the solution of ？[1].