This is my thoughts about time travel, me and my friend Joshua used to talk about it quiet often so we came up with a theory, a idea useing real math and real facts, anyway lets begin.
Furture time travel
This one is acully the most easyiest to tell because if your going the speed of light itself your acully be faster then earth years, so it will take you into the furture just heres the promblem you can't go back only forwards.
Past Time Travel
Well this is big not do possbile because of the engery you'll need and the math that goes with it, but if you did by channce go to a place in the 90s or 80s or something and met your mother before you were born that wouldn't be your mother no, it would be another version of your mother in another reailty or whatever you want to call it. Anyway if you tried to do so you would just lead to failers, sorry to say.
Time travel to the future in the case in which you are referring to is not time travel at all, but rather a type of high-velocity stasis (based on time dilation, a shorter amount of time passes in your frame than the rest of the universe). However, you won't get to that future time period any faster than you would otherwise by not traveling at velocities close to the speed of light.
Time travel to the past in our current understood state of physics is simply not possible.