Speaker
Description
In an effort to contribute to the current search for a modified gravity theory consistent with all observed phenomena, Boehmer and Jensko noted an obscure fact that the Ricci scalar can be decomposed into a bulk and a boundary term. This is then used to construct an action inspired by the idea of nonmetricity where the affine connection does not commute in the lower indices as in GR. The bulk and boundary terms can both be written in terms of the connection. The boundary term is impactful in the construction of cosmological models however they may be neutralised to study compact objects. We investigate stellar structure within this framework. At first we probe the implications of a vanishing bulk term through the presence of peculiar geometries. Next we consider the vacuum solution and it turns out that two branches of solutions exist. The simplest cases of constant potentials is examined and finally we develop an exact solution with variable density however despite the reasonable physical properties the model does not admit a finite boundary nor a regular centre. The singularity at the centre may be dealt with by the insertion of another reqular fluid in the central core while our cosmological fluid envelopes the core.
