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Full-Text Articles in Physical Sciences and Mathematics
A Complete Analytic Gravitational Wave Model For Undergraduates, Dillon Buskirk, Maria Babiuc-Hamilton
A Complete Analytic Gravitational Wave Model For Undergraduates, Dillon Buskirk, Maria Babiuc-Hamilton
Physics Faculty Research
Gravitational waves are produced by orbiting massive binary objects, such as black holes and neutron stars, and propagate as ripples in the very fabric of space-time. As the waves carry off orbital energy, the two bodies spiral into each other and eventually merge. They are described by Einstein's equations of general relativity. For the early phase of the orbit, called the inspiral, Einstein equations can be linearised and solved through analytical approximations, while for the late phase, near the merger, we need to solve the fully nonlinear Einstein's equations on supercomputers. In order to recover the gravitational wave for the …
Gravity & Electromagnetism On The Null Cone, Maria Babiuc-Hamilton
Gravity & Electromagnetism On The Null Cone, Maria Babiuc-Hamilton
Physics Faculty Research
Gravitational and electromagnetic radiation travel along light rays, which are principal null directions in space-time. They are characteristic surfaces of Einstein and Maxwell equations. In characteristic coordinates, the field is described by ordinary differential equations.