In the first, the planet accretes from chondrite-like fully oxidized water-rich material, where all the metallic iron is bound into silicate mineral crystals. Such planets may form in cooler regions farther from the central star.
In the second, the planet accretes from both water-rich and iron metal-rich material. However, the metal iron reacts with water to form iron oxide and release hydrogen before differentiation of a metal core has taken place. Provided the iron droplets are well mixed and small enough (<1 centimeter), the predicted end result is that the iron is oxidized and trapped in the mantle, unable to form a core.
Earth's magnetic field results from its flowing liquid metallic core, according to the dynamo theory, but in super-Earths the mass can produce high pressures with large viscosities and high melting temperatures which could prevent the interiors from separating into different layers and so result in undifferentiated coreless mantles. Magnesium oxide, which is rocky on Earth, can be a liquid metal at the pressures and temperatures found in super-Earths and could generate a magnetic field in the mantles of super-Earths. 
The predicted sizes of coreless and cored planets are similar within a few percent, which makes it difficult to interpret the interior composition of exoplanets based on measured planetary masses and radii.
- Seager, S.; L.Elkins-Tanton (2008). "Coreless Terrestrial Exoplanets". ApJ 688: 628–635. arXiv:0808.1908. Bibcode:2008ApJ...688..628E. doi:10.1086/592316.
- Super-Earths Get Magnetic 'Shield' from Liquid Metal, Charles Q. Choi, SPACE.com, November 22, 2012 02:01pm ET,
- The Effect of Lower Mantle Metallization on Magnetic Field Generation in Rocky Exoplanets, Ryan Vilim, Sabine Stanley, Linda Elkins-Tanton, (Submitted on 25 Apr 2013)
- A Framework for Quantifying the Degeneracies of Exoplanet Interior Compositions, L. A. Rogers, S. Seager, (Submitted on 16 Dec 2009 (v1), last revised 4 Jun 2010 (this version, v2))
- The Role of Carbon in Extrasolar Planetary Geodynamics and Habitability, Cayman T. Unterborn, Jason E. Kabbes, Jeffrey S. Pigott, Daniel R. Reaman, Wendy R. Panero, (Submitted on 31 Oct 2013 (v1), last revised 9 Nov 2013 (this version, v3))