Dimensionless Time: Rindler & Minkowski Spacetime

In summary, the dimensionless time in Rindler spacetime is a way of scaling the time coordinate in relation to the mass of the black hole, while the dimensionless radial coordinate is a way of separating out aspects of the physics that are independent of the mass of the hole. This allows for a better understanding of the properties of black holes and their relationship to spacetime.
  • #1
felici95
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What does the dimensionless time in Rindler spacetime signifies? And how something dimensionless can be regarded as time and coupled up with proper distance in Minkowski spacetime?

(Page 7: https://www.perimeterinstitute.ca/images/files/black_holes_and_holography_course_notes.pdf )
 
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  • #2
The "dimensionless time" is just a way of scaling the time coordinate in relation to the mass of the hole. Some sources also use a dimensionless radial coordinate which is constructed basically the same way, as a ratio of the usual radial coordinate to a constant times the hole's mass. The idea is to separate out aspects of the physics that are the same regardless of the mass of the hole.
 

FAQ: Dimensionless Time: Rindler & Minkowski Spacetime

What is dimensionless time?

Dimensionless time refers to a type of time measurement that does not have a specific unit of measurement attached to it. It is often used in physics and mathematics to simplify calculations and remove the need for conversion between different units of time.

What is Rindler spacetime?

Rindler spacetime is a type of non-inertial coordinate system used in special relativity. It is a flat spacetime with two accelerating reference frames, known as Rindler observers, that are constantly accelerating away from each other.

What is Minkowski spacetime?

Minkowski spacetime is a mathematical model that combines space and time into a single four-dimensional continuum. It is used in special relativity to describe the geometry of spacetime and the motion of objects within it.

How are Rindler and Minkowski spacetime related?

Rindler spacetime is a subset of Minkowski spacetime, meaning that it is a specific case within the larger model. It is often used to simplify calculations and better understand the effects of acceleration on objects in spacetime.

What is the significance of using dimensionless time in Rindler and Minkowski spacetime?

Dimensionless time allows for a more simplified and intuitive understanding of the effects of acceleration on objects in Rindler and Minkowski spacetime. It removes the need for complicated unit conversions and allows for easier comparison between different reference frames.

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