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Black Hole Evaporation in Semi-classical Approach PDF
By:Shintaro Sawayama
Published on by Shintaro Sawayama

We consider how the mass of the black hole decreases by the Hawking radiation in the Vaidya spacetime, using the concept of dynamical horizon equation, proposed by Ashtekar and Krishnan. Using the formula for the change of the dynamical horizon, we derive an equation for the mass incorporating the Hawking radiation. It is shown that the final state is the Minkowski spacetime in our particular model. We finally solved the equation which describes how black hole mass decreases. The back-reaction problem of the Hawking radiation has not been solved by the conventional method by solving the Einstein equation. While we can solve this problem using the following three ideas. First idea is to use the dynamical horizon equation which only needs information of the horizon surface. Then we calculate usual field equation as the integration equation. Second we taken negative energy into account near the black hole horizon. Using the negative energy we can enlarge the dynamical horizon to the timelike case. Third, we use the Vaidya metric. Usually the Einstein equation and the dynamical horizon equation are not compatible. However, using the Vaidya metric as a background we can use the dynamical horizon equation in place of the Einstein equation.

This Book was ranked at 17 by Google Books for keyword Black hole.

Book ID of Black Hole Evaporation in Semi-classical Approach's Books is ocqY-yIC2qoC, Book which was written byShintaro Sawayamahave ETAG "kw3Y00dJndo"

Book which was published by Shintaro Sawayama since have ISBNs, ISBN 13 Code is 9784907170035 and ISBN 10 Code is 4907170033

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