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Solution generating theorems: perfect fluid spheres and the TOV equation
Petarpa Boonserm, Matt Visser, Silke Weinfurtner
We report several new transformation theorems that map perfect fluid spheres into perfect fluid spheres. In addition, we report new ``solution generating'' theorems for the TOV, wh…
Solution generating theorems for perfect fluid spheres
Petarpa Boonserm, Matt Visser, Silke Weinfurtner
The first static spherically symmetric perfect fluid solution with constant density was found by Schwarzschild in 1918. Generically, perfect fluid spheres are interesting because t…
Generalized Puisieux series expansion for cosmological milestones
Celine Cattoen, Matt Visser
We use generalized Puisieux series expansions to determine the behaviour of the scale factor in the vicinity of typical cosmological milestones occurring in a FRW universe. We desc…
Cosmological milestones and energy conditions
Celine Cattoen, Matt Visser
Until recently, the physically relevant singularities occurring in FRW cosmologies had traditionally been thought to be limited to the "big bang", and possibly a "big crunch". Howe…
Hawking-like radiation does not require a trapped region
Carlos Barcelo, Stefano Liberati, Sebastiano Sonego +1
We discuss the issue of quasi-particle production by ``analogue black holes'' with particular attention to the possibility of reproducing Hawking radiation in a laboratory. By cons…
Solution generating theorems for the TOV equation
Petarpa Boonserm, Matt Visser, Silke Weinfurtner
The Tolman-Oppenheimer-Volkov [TOV] equation constrains the internal structure of general relativistic static perfect fluid spheres. We develop several "solution generating" theore…