Schwarzschild-deSitter Metric: Radial Locations of Event Horizons

In summary, there is a prescription for computing the radial locations of the two event horizons of a S-dS metric. This can be done by calculating where the radial gradient of the g00 component is equal to zero, or by setting g00 equal to zero. The physical relevance of the former prescription is uncertain and further clarification is needed.
  • #1
Jim
14
0
Somewhere I ran across a `prescription' for computing the radial locations of the 2 event horizons of a S-dS metric, in which one merely computes where the radial gradient of g00 component vanishes, i.e., dg00/dr = 0.
I am wrong, & apparently it's sufficient to merely set g00 = 0 , in order to define the event horizon location(s).
Can someone tell me what (if any ) is the physical relevance to the former prescription ?
Most appreciated !
Jim
 
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  • #2
'Somewhere' will not do. You have to give a reference if you want people to respond properly.
 
  • #3
Hi. There is no point like that if r is finite, isn't it?
 

FAQ: Schwarzschild-deSitter Metric: Radial Locations of Event Horizons

What is the Schwarzschild-deSitter Metric?

The Schwarzschild-deSitter metric is a mathematical equation used in general relativity to describe the curvature of spacetime around a massive object, such as a black hole. It combines elements of the Schwarzschild metric, which describes a non-rotating, spherically symmetric mass, with elements of the deSitter metric, which describes the expansion of the universe.

What are radial locations of event horizons?

Radial locations of event horizons refer to the distance from the center of a black hole at which the event horizon is located. The event horizon is the boundary within which the escape velocity exceeds the speed of light, making it impossible for anything, including light, to escape from the black hole.

How do the Schwarzschild and deSitter metrics combine in this equation?

The Schwarzschild-deSitter metric combines elements of the Schwarzschild metric, which describes the spacetime around a non-rotating, spherically symmetric mass, with elements of the deSitter metric, which describes the expansion of the universe. It is derived by adding a cosmological constant to the Schwarzschild metric, representing the overall curvature of the universe.

What is the significance of the Schwarzschild-deSitter metric?

The Schwarzschild-deSitter metric is significant because it allows for the calculation of the event horizon of a black hole in a universe with a non-zero cosmological constant. This is important in understanding the behavior of black holes in our expanding universe and has implications for the study of cosmology and the nature of dark energy.

How is the Schwarzschild-deSitter metric used in practical applications?

The Schwarzschild-deSitter metric is primarily used in theoretical and mathematical applications, such as in studying the properties of black holes and the behavior of spacetime. It is also used in cosmology to model the expansion of the universe and the effects of dark energy. It has not yet been directly observed or measured in practical applications.

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