Introduction to black hole thermodynamics (2024)
- Authors:
- Autor USP: DIAS, LUCAS MALACRIDA - IFSC
- Unidade: IFSC
- Subjects: MATRIZES; RELATIVIDADE (FÍSICA); MECÂNICA QUÂNTICA
- Language: Inglês
- Abstract: This work explores the mathematical and physical foundations of black hole thermodynamics within the framework of general relativity (GR). Initially, the project reviews GR’s essential concepts, establishing the link between spacetime curvature and energy-momentum through Einstein’s field equations. The study then transitions to specific black hole (BH) solutions, including Schwarzschild, Kerr, Reissner-Nordström and Kerr-Newmann metrics, examining their properties, event horizons and singularities. The investigation highlights the groundbreaking work by Bekenstein and Hawking, who showed that BHs possess entropy proportional to their event horizon area and can emit thermal radiation due to quantum effects. This pivotal insight integrates classical thermodynamics with quantum field theory, suggesting that BHs are thermodynamic entities rather than mere absorptive objects. The analysis includes the behavior of BHs under various cosmological conditions, focusing on their mass evolution and potential phase transitions, where heat capacity changes sign, indicating stability or instability. The results underscore the importance of BHs in connecting general relativity, thermodynamics and quantum mechanics, offering a deeper understanding of fundamental physics and potential pathways to a unified theory.
- Imprenta:
- Publisher place: São Carlos
- Date published: 2024
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ABNT
DIAS, Lucas Malacrida. Introduction to black hole thermodynamics. 2024. Trabalho de Conclusão de Curso (Graduação) – Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos, 2024. Disponível em: https://bdta.abcd.usp.br/directbitstream/ed81b287-94b2-458a-826d-ad12fcc35aa1/Lucas_Malacridas_Dias.pdf. Acesso em: 22 abr. 2025. -
APA
Dias, L. M. (2024). Introduction to black hole thermodynamics (Trabalho de Conclusão de Curso (Graduação). Instituto de Física de São Carlos, Universidade de São Paulo, São Carlos. Recuperado de https://bdta.abcd.usp.br/directbitstream/ed81b287-94b2-458a-826d-ad12fcc35aa1/Lucas_Malacridas_Dias.pdf -
NLM
Dias LM. Introduction to black hole thermodynamics [Internet]. 2024 ;[citado 2025 abr. 22 ] Available from: https://bdta.abcd.usp.br/directbitstream/ed81b287-94b2-458a-826d-ad12fcc35aa1/Lucas_Malacridas_Dias.pdf -
Vancouver
Dias LM. Introduction to black hole thermodynamics [Internet]. 2024 ;[citado 2025 abr. 22 ] Available from: https://bdta.abcd.usp.br/directbitstream/ed81b287-94b2-458a-826d-ad12fcc35aa1/Lucas_Malacridas_Dias.pdf
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