Short explanation:
The reason why the metric is ( 1, 1, 1, -1) is just because events are propagated by the speed of light and this must be taken into account also in differentials equations.
k reflect a coefficent to take this into account
Here a little document I'd like to have comments on it
Electromagnetic Field from another perspective
Analogy between the Electromagnetic Field and a Field Defined by the Constant k
Definition of the Field:
We have defined a scalar field A and...
Inverting the formula we have: ## M = \frac {c^4}{4aG}## that as an example to have a=g (gravity on Earth surface) the mass would be very very huge (something around 1558 billion solar mass) with a radius close to 1LY.
Now if we suppose that the Rs is just one meter below the surface, we should...
Would it be possible to consider the object O1 at a very small distance ε and to compute the limit with ε -> 0 ?
Could be possible that the equation ##\frac {c^4} {4GM}## is coming from that limit?
Thanks all for the answers.
However, looking around, I've found on Wikipedia a "solution" to my first answer that seems the same as my solution. Probably, because of your answer, the Wikipedia page is wrong: https://en.wikipedia.org/wiki/Surface_gravity
From that equation it seems that the...
From "standard" formula we have that the gravity acceleration a = GM/r^2 and that the Schwarzschild radius rs = 2 GM / c^2
Is it possible to compute the gravity acceleration at Schwarzschild radius putting r = rs?
In this case we will have a = c^4 / (4GM) This mean that a very very...
My name is Roberto and I'm interested in Physics, Electronics, Computer science.
Since I had curiosity about black holes, I subscribed this forum in order to share doubt and ideas about physics.
As closer the observer will be to the event horizon, the more the time dilatation will be.
As we know, if the observer O1 has a clock, another observer O2 very far from the black hole will se the O1 clock "slowing" down
as O1 approach the event horizon. The limit is that the O1 clock "stops" at...