Register to reply

Mathematical name of time dilation curve

by HALON
Tags: curve, dilation, mathematical, time
Share this thread:
HALON
#1
Aug16-14, 07:29 PM
P: 39
In mathematics, what is the name (type) for a curve given by velocity and time dilation?

Specifically, I want to find a name for the curve [itex]y=1/(1-x^2)^{1/2}[/itex]

This curve is derived from the equation of a unit circle [itex](x-a)^2+(y-b)^2=r^2[/itex]
where [itex]y=(1-x^2)^{1/2}[/itex]
Phys.Org News Partner Mathematics news on Phys.org
Math journal puts Rauzy fractcal image on the cover
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Simon Bridge
#2
Aug17-14, 12:02 AM
Homework
Sci Advisor
HW Helper
Thanks
Simon Bridge's Avatar
P: 13,040
It's called a hyperbola. Well - sort of.

The general equation is: ##(x^2-h)(y^2-k)=m##

Your relation has ##k=0, h=-1, m=-1##

This is a rectangular hyperbola in ##(x^2,y^2)##

You can get much more general than that by just taking the product of two polynomials... $$P_n(x)P_m(y)=\text{const.}$$


Register to reply

Related Discussions
Gravitational time dilation and special relativity time dilation Special & General Relativity 9
Time Dilation or Mass Dilation Special & General Relativity 4
Gravitational time dilation vs velocity time dilation Special & General Relativity 22
Gravitational Time Dilation and the Galaxy Rotation Curve Special & General Relativity 6
Calculating Gravitational Time Dilation in black hole/Future Time Travel Special & General Relativity 5