If a scalar field component has to be added to the Einstein field equations (see below) to solve dark matter/energy, then how would string theory need to be modified and do black holes still exist?
Refs:
*Dark Matter, Dark Energy, and the Fate of Einstein’s TheoryThe proposed modified equations are (ignoring physical constants) $$ R_{ij} - \frac12 R g_{ij} = T_{ij} + \nabla_i\nabla_j \varphi $$ where $\varphi$ represents some kind of Gravityscalar potential. The conservation law for energy-momentum is proposed to be http://mathgradblog.williams.edu/dark-matter-dark-energy-fate-einsteins-theory-gravity$$ \nabla^i(T_{ij} + \nabla_i\nabla_j\varphi) = 0 $$
*UNIFIED THEORY OF DARK ENERGY AND DARK MATTER, TIAN MA, SHOUHONG WANG http://www.indiana.edu/~fluid/paper/report.pdfRefs:
Dark Matter, Dark Energy, and the Fate of Einstein’s Theory of Gravity http://mathgradblog.williams.edu/dark-matter-dark-energy-fate-einsteins-theory-gravity
UNIFIED THEORY OF DARK ENERGY AND DARK MATTER, TIAN MA, SHOUHONG WANG http://www.indiana.edu/~fluid/paper/report.pdf
