I don't understand the light deflection calculus

[luxxio]

i am studing the book of weinberg of general relativity. in the part about light deflection weinberg perform the calculus of the angle deflection of a light ray bended bay a gravitational body. i don't how can evalute the integral. in other words i don't understand de taylor aproximation of the integral. why the integral is not divergent? how can help me to understand?

 

[mathman]

It would be easier to respond if you could explicitly show rhe integral you are talking about, including definitions of symbols.

 

[Entropia]

It is completely understandable to struggle with understanding the light deflection calculus in the book of Weinberg on general relativity. Calculating the angle deflection of a light ray bended by a gravitational body is a complex concept and it takes time and practice to fully grasp it. In regards to the integral, it is important to understand the concept of the Taylor approximation, which is a method used to approximate a function by a polynomial. This approximation allows us to break down a complex integral into smaller, more manageable parts.

The reason why the integral is not divergent is because of the properties of the gravitational field. In general relativity, the gravitational field is described as a curvature of spacetime, rather than a force. This means that the effects of gravity can be described by a mathematical equation that takes into account the curvature of spacetime, which is finite and not infinite.

To better understand the Taylor approximation and how it applies to the integral in the light deflection calculus, it may be helpful to consult additional resources or seek guidance from a professor or tutor. It is important to keep in mind that understanding complex concepts such as this takes time and effort, so don't get discouraged. With persistence and additional support, you will eventually be able to grasp the concept and fully understand it.