Maximal proper force, black hole horizons and matter as curvature in momentum space

DOI10.1142/S0219887818500354zbMath1386.83078OpenAlexW2576259639MaRDI QIDQ4609859

Carlos Castro

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887818500354

zbMATH Keywords

gravityFinsler geometryvacuum energyphase spacesmaximal accelerationBorn reciprocitysingularity in the curvature

Mathematics Subject Classification ID

Black holes (83C57) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Methods of quantum field theory in general relativity and gravitational theory (83C47) Space-time singularities, cosmic censorship, etc. (83C75) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• Black holes: complementarity or firewalls?
• Relative locality: a deepening of the relativity principle
• Quantum corrections to the spacetime metric from geometric phase space quantization
• Modified dispersion relations in Hořava-Lifshitz gravity and Finsler brane models
• SOME CONSEQUENCES OF BORN'S RECIPROCAL RELATIVITY IN PHASE-SPACES
• The geometry of Hamilton and Lagrange spaces

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