Combining SR and GR time dilation

In summary, the question is asking how to combine the time dilation from a gravitational field (Lambda 1) and the time dilation from special relativity for a moving body (Lambda 2) for a moving particle in a gravitational field. The answer is that it should be combined multiplicatively.
  • #1
taylog1
11
0
Just seeking a bit of guidance if I may ?

If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Regards

Gareth
 
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  • #2
Welcome to PF!

Hi Gareth! Welcome to PF! :wink:
taylog1 said:
If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Multiplicative. :smile:
 
  • #3
Thanks very much

Gareth
 

1. What is the difference between Special Relativity (SR) and General Relativity (GR) time dilation?

Special Relativity time dilation is based on the concept of relative velocity and the idea that time moves slower for objects moving at high speeds. General Relativity time dilation takes into account the effects of gravity on time and the idea that time moves slower in stronger gravitational fields.

2. How are SR and GR time dilation related?

SR and GR time dilation are both based on the theory of relativity and the idea that time is relative and can be affected by factors such as velocity and gravity. However, GR time dilation is a more comprehensive theory that includes the effects of gravity, while SR time dilation only considers relative velocity.

3. Can SR and GR time dilation occur simultaneously?

Yes, SR and GR time dilation can occur simultaneously in situations where both relative velocity and gravity are present. For example, an object in orbit around a massive body will experience both SR and GR time dilation at the same time.

4. How do we combine SR and GR time dilation?

To combine SR and GR time dilation, we use the concept of spacetime, which is a four-dimensional space that includes both space and time. By understanding how velocity and gravity affect spacetime, we can calculate the combined effects of SR and GR time dilation.

5. What are some real-world applications of combining SR and GR time dilation?

Combining SR and GR time dilation is crucial for many modern technologies, such as GPS systems, which rely on precise timing to function accurately. Additionally, understanding the effects of time dilation is essential for space travel, as it can impact the aging of astronauts and the accuracy of spacecraft navigation.

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