Linked Questions
11 questions linked to/from Why proper acceleration is $du/dt$ and not $du/d\tau$?
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Help understanding Bell's spaceship paradox
The problem statement of Bell's Spaceship paradox is this:
Two spaceships float in space and are at rest relative to each other. They are
connected by a string. The string is strong, but it ...
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3
answers
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Relativistic factor between coordinate acceleration and proper acceleration
I did a recent question about relativistic kinematics here: Generalizing a relativistic kinematics formula for spatial-acceleration dependence.
I have a confusion. In the textbooks I've seen, they ...
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3
answers
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Proper time for an accelerating object
As far as I have read so far,
proper time is the time measured on the clock of an inertial frame moving uniformly with respect to another inertial frame. The concept and the mathematical expression ...
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3
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2
answers
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Derivation of relativistic uniformly accelerated motion
I'm trying to understand solution of the following problem from Landau, Lifshitz, Classical Theory Of Fields:
(ending skipped).
What I see when I "write out the expression for $w^iw_i$", using ...
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3
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2
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Velocity of an object undergoing homogenous acceleration
So I was considering the following problem within the context of Special Relativity:
Given an object O, with initial velocity v, undergoing constant acceleration at a rate of a, I want to express the ...
- 3,019
5
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2
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Total time taken for an accelerating frame in special relativity [duplicate]
How does one derive the equation for the total time traveled in a constantly accelerating frame? I found some help at this question: Special Relativity and Constant Acceleration
But the information ...
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2
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How an accelerated object sees another accelerated body in special relativity?
Assume two objects are moving with a constant acceleration $a_1$ and $a_2$, which are the measured accelerations by respective object (or constant force being applied to each of the objects). My ...
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3
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2
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Relationship between mass preserving four-fources and proper acceleration
Background
I studied Rindler's book on Relativity. Relevant information from this book is available on-line here:
http://www.scholarpedia.org/article/Special_relativity:_mechanics
Given that we ...
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2
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1
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Proper acceleration asymetry in twin paradox
In the Wikipedia article on the twin pararadox, there is an interesting chapter which calculates the difference of age for the twins, with steps of accelerated movement, and steps with constant speed, ...
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0
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2
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2 different formulas for proper acceleration derived from the same equation
I was looking at this answer which eventually stated this about the proper acceleration (when $\vec v$ is parallel to $\vec a$):
$$
\vec \alpha =\gamma^3 \vec a = \gamma^3 \dfrac{d\vec v}{dt}=\dfrac{...
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0
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Under what conditions is the time component of proper acceleration zero?
Given the magnitude of a proper acceleration, the derivative of proper velocity with respect to proper time, how do you determine what component is from the spatial vs temporal dimensions. I am led ...
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