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## Main Question or Discussion Point

Hi,

I am new to this forum so I apologise if a similar thread already exists.

I am trying to resolve the implications on space and time as you approach a black hole event horizon with respect a distant observer and an onboard observer. My issue relates to combining the effects of both special and general relativity, i.e. velocity and gravitational effects.

If a free-falling observer acquires velocity on approaching the event horizon, then special relativity suggests that a distant (stationary) observer will perceive time dilation and space contraction in the direction of motion in the free-falling frame of reference. However, while the Schwarzschild metric appears to support the concept of time dilation when approaching the event horizon, it suggests that the space expands, not contracts, due to the increasing curvature of space near the horizon. Therefore, my question is whether both these spatial effects have to be taken in consideration?

Would appreciate any insights to this issue.

Thanks

I am new to this forum so I apologise if a similar thread already exists.

I am trying to resolve the implications on space and time as you approach a black hole event horizon with respect a distant observer and an onboard observer. My issue relates to combining the effects of both special and general relativity, i.e. velocity and gravitational effects.

If a free-falling observer acquires velocity on approaching the event horizon, then special relativity suggests that a distant (stationary) observer will perceive time dilation and space contraction in the direction of motion in the free-falling frame of reference. However, while the Schwarzschild metric appears to support the concept of time dilation when approaching the event horizon, it suggests that the space expands, not contracts, due to the increasing curvature of space near the horizon. Therefore, my question is whether both these spatial effects have to be taken in consideration?

Would appreciate any insights to this issue.

Thanks