- #1

- 344

- 0

## Main Question or Discussion Point

How much slower is time ticking inside the Sun, compared to the surface, and how can it be calculated?

- Thread starter Bjarne
- Start date

- #1

- 344

- 0

How much slower is time ticking inside the Sun, compared to the surface, and how can it be calculated?

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,833

- 955

- #3

George Jones

Staff Emeritus

Science Advisor

Gold Member

- 7,315

- 869

https://www.physicsforums.com/showthread.php?p=1543402#post1543402.

- #4

- 344

- 0

https://www.physicsforums.com/showthread.php?p=1543402#post1543402

- #5

JesseM

Science Advisor

- 8,496

- 12

No, time dilation isn't proportional to mass difference in that way. Just use the following equation from George Jones' link, giving the ratio of a clock at the center to a clock at the surface:

https://www.physicsforums.com/showthread.php?p=1543402#post1543402

[tex]

\frac{d\tau_{centre}}{d\tau_{surf}}=\left( \frac{d\tau_{centre}}{dt}\right) \left( \frac{d\tau_{surface}}{dt}\right)^{-1} =\frac{\frac{3}{2}\sqrt{1-\frac{2GM}{c^{2}R}}-\frac{1}{2}}{\sqrt{1-\frac{2GM}{c^{2}R}-v^{2}}}

[/tex]

With G=the gravitational constant (6.67428 *10^-11 m^3 kg^-1 s^-2), M=mass of the Sun (2 * 10^30 kg), R=radius of the sun (6.955 * 10^8 m), c=speed of light (299792458 m s^-1), and v set to zero (assuming someone at rest on the surface). There's an online calculator http://www.math.sc.edu/cgi-bin/sumcgi/calculator.pl [Broken] if you need it.

Last edited by a moderator:

- Last Post

- Replies
- 8

- Views
- 5K

- Last Post

- Replies
- 23

- Views
- 1K

- Replies
- 58

- Views
- 3K

- Last Post

- Replies
- 3

- Views
- 1K

- Replies
- 1

- Views
- 1K

- Last Post

- Replies
- 13

- Views
- 2K

- Last Post

- Replies
- 33

- Views
- 3K

- Replies
- 34

- Views
- 13K

- Last Post

- Replies
- 18

- Views
- 7K

- Replies
- 7

- Views
- 898