Combining SR and GR time dilation

[taylog1]

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

 

[tiny-tim]

Welcome to PF!

Hi Gareth! Welcome to PF!

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.

 

[taylog1]

Thanks very much

Gareth