On the page curve for a Taub-Nut black hole

In 1975, Stephen Hawking, in his paper "Particle Creation by Black Holes," proposed that pairs of virtual particles are generated due to quantum mechanical effects near the event horizon of a black hole. One of these particles escapes to infinity in the form of Hawking radiation. As a result, it has been theorized that black holes are not entirely "black." Moreover, due to Hawking radiation, black holes and their information tend to disappear, leading to the Information Loss Paradox. In 1993, Page proposed one possible solution to this paradox. He used the Von Neumann entropy to quantify our knowledge about black hole information, assuming that a black hole and its radiation are a pure quantum state. This entropy, whose temporal evolution is known as the Page curve, must tend to zero when the "evaporation" process tends to end, implying information recovery. The Page curve has been extensively studied for different black hole models, including Kerr and Schwarzschild black holes. In that sense, in the present work, we study the Hawking radiation for a Kerr-Taub-Nut black hole described by its mass, angular momentum, and nut parameter through the emission of massless scalar particles (e.g., bosons). We show that angular momentum is lost faster than nut charge and mass in the black hole evaporation process. In the same way, using the model for the evolution of the parameters of a black hole proposed by Page, we studied the evolution of the Von Neumann entropy for Hawking radiation thereby providing a description of the Page curve for a Kerr-Taub-Nut black hole.

• Tác giả chính: Arévalo Nazate, Vicente Alexander (author)
• Định dạng: bachelorThesis
• Ngôn ngữ: eng
• Được phát hành: 2024
• Những chủ đề: Agujeros negros; Radiación de Hawking; Curva de Page; Black holes; Hawking radiation; Page curve
• Truy cập trực tuyến: http://repositorio.yachaytech.edu.ec/handle/123456789/763