Einstein & Light Deviation: Compute w/o Schwarzschild Metric

In summary, Einstein's theory of general relativity predicts that light will deviate from its path when passing through a gravitational field. This phenomenon is known as gravitational lensing and has been confirmed through observations of distant stars and galaxies. However, it is possible to compute the deviation of light without using the Schwarzschild metric, which is the metric used to describe the curvature of space-time around a non-rotating massive object. This can be achieved by using alternative methods, such as the Gauss-Bonnet theorem, which allows for more flexibility in calculating gravitational lensing effects. By understanding the principles behind light deviation, scientists are able to better understand the nature of gravity and the behavior of light in the universe.
  • #1
e2m2a
354
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How did Einstein compute the amount of light deviation due to the Earth's gravitational field when the Schwarzschild metric was not known yet?
 
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  • #2
He didn't get it right at the first try, in fact in his first calculations in 1908 he was off by a factor of 2. The correct result was obtained 1915 using the weak field approximation where all terms smaller than the order of 1/c³ were neglected, see http://home.fnal.gov/~syphers/Education/Notes/lightbend.pdf
 
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  • #3
Yukterez said:
He didn't get it right at the first try, in fact in his first calculations in 1908 he was off by a factor of 2. The correct result was obtained 1915 using the weak field approximation, see http://home.fnal.gov/~syphers/Education/Notes/lightbend.pdf
ok. Thanks for the reference.
 
  • #4
e2m2a said:
How did Einstein compute the amount of light deviation due to the Earth's gravitational field when the Schwarzschild metric was not known yet?
http://mathpages.com/rr/s8-09/8-09.htm
 
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1. How did Einstein discover the concept of light deviation?

Einstein first developed his theory of general relativity in 1915, which included the principle of equivalence that stated that the laws of physics should be the same for all observers, regardless of their motion. He then used this principle to calculate how the path of light would be affected by the curvature of space-time, leading to the concept of light deviation.

2. What is the Schwarzschild metric and how does it relate to light deviation?

The Schwarzschild metric is a mathematical equation that describes the curvature of space-time around a massive object, such as a star or planet. It is the solution to Einstein's field equations in the absence of matter or energy. This metric is used to calculate the path of light in the vicinity of a massive object, allowing us to predict and observe light deviation.

3. Can light deviation be computed without using the Schwarzschild metric?

Yes, it is possible to compute light deviation without using the Schwarzschild metric. This can be done by using Einstein's field equations to calculate the curvature of space-time and then using this information to determine the path of light. However, the Schwarzschild metric provides a more efficient and accurate way to compute light deviation.

4. What are the applications of understanding light deviation?

Understanding light deviation is crucial in many areas of physics, such as astronomy and cosmology. It allows us to study the effects of massive objects on the path of light, which can help us better understand the structure and behavior of the universe. Light deviation is also used in the development of technologies such as gravitational lenses, which can magnify distant objects for observation.

5. Is the concept of light deviation unique to Einstein's theory of relativity?

No, the concept of light deviation is not unique to Einstein's theory of relativity. It has been observed and studied by scientists before Einstein's theory, but he was the first to provide a comprehensive explanation of it through his theory of general relativity. Other theories, such as Newton's theory of gravity, also predict light deviation, but they do not take into account the curvature of space-time.

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