I Cosmic strings increasing internal energy?

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The discussion centers on the concept of cosmic strings and their internal energy in relation to the expansion of the universe. Edward Harrison's article suggests that the internal energy of a comoving volume, such as a cosmic string, increases as the universe expands, referencing work by Rees and Gott. There is confusion regarding the nature of this internal energy, specifically whether it refers to heat, radiation, or another form. The inquiry raises questions about whether the energy increase continues as long as the universe's expansion persists. Understanding the implications of this energy increase is crucial for cosmological theories.
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Cosmic strings increasing internal energy as the Universe expands?
I was reading an article by Edward Harrison, which tackles the problems of conservation of energy at cosmological scales.

At some point (point 2.4) he cites several article, including one by Rees and Gott, which he says indicates that the internal energy of a comoving volume (e.g. a cosmic string) increases as the universe expands. However I have looke the article by Rees and Gott and I didn't understand it well. So, if a cosmic string increases its energy as the universe expands, will it increase as long as the expansion is maintained? And what is exactly this internal energy? Heat? Radiation?...

Link to the article: https://adsabs.harvard.edu/full/1995ApJ...446...63H
 
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The energy is tension, if I recall.
 

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