2017/10/10 by S. Fischer, Fischer, Simon-Raphael
Computer Science · Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical and Theoretical Analysis #Numerical Methods and Algorithms
paper · pdf · doi:10.48550/arxiv.1710.03665
openalex publication_date 2017/10/10 · openalex created_date 2017/10/20 · openalex updated_date 2026/07/28
We study for which polynomials F a thin shell wormhole with a continuous metric (connecting two Schwarzschild spacetimes of the same mass) satisfy the null energy condition (NEC) in F(R)-gravity. We avoid junction conditions by using the mathematical framework of the Colombeau algebra which describes a generalized framework of the distributional geometry such that one can define multiplications between distributions generalizing the tensor product of smooth tensors. The aim for physics is to motivate a conjecture about the satisfaction of the NEC for suitable quadratic F while the aim for mathematics is to derive a rigorous framework describing this situation. Here the F(R)-gravity should be seen as a toy model, important is that the NEC may be satisfied by some form of "microstructure" which does not arise in the classical setting and may have interesting physical meanings.