Interacting scalar field and LTB gravity: "factorized" solutions

Antonio Zecca
2018 Advanced Studies in Theoretical Physics  
The problem of the interaction of massive complex scalar field with gravity is studied in the context of Lemâitre Tolman Bondi space time. Solution of a factorized form of the coefficients of the metric tensor are determined explicitly. For mass less (complex) scalar field the factorized solution amount to a Robertson Walker like space time. The corresponding time evolution is explicitly given for a special choice of the integration constant. This is coherent with previous results. The time
more » ... sults. The time evolution is further discussed in the general mass less field case. For massive real scalar field it is shown that no non trivial solution of the scheme do exist.
doi:10.12988/astp.2018.81040 fatcat:n4vc3bwohbh5rauolgbir75uoe