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Hill’s equations are an approximation that is useful in a number of areas of astrophysics including planetary rings and planetesimal disks. We derive a symplectic method for integrating Hill’sequation...
Solutions of the dilaton field equations with applications to the soliton-black hole correspondence in generalised JT gravity
Soliton A black hole A two-dimensional gravity
2014/12/9
In this thesis, we explore connections between solitons, black holes, and harmonic maps in two-dimensional gravitation. Euclidean sine-Gordon theory, naturally admitting soliton solutions, and Schwarz...
Lindblad resonance torques in relativistic discs: I. Basic equations
High Energy Astrophysical Phenomena (astro-ph.HE) General Relativity and Quantum Cosmology (gr-qc)
2010/12/24
Lindblad resonances have been suggested as an important mechanism for angular momentum transport and heating in discs in binary black hole systems.
In this note by use of the holographic principle together with the equipartition law of energy and the Unruh temperature, we derive the Friedmann equations of a Friedmann-Robertson-Walker universe.
