Intrinsic time gravity and the Lichnerowicz-York equation

Niall Ó Murchadha, Chopin Soo, Hoi Lai Yu

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


We investigate the effect on the Hamiltonian structure of general relativity of choosing an intrinsic time to fix the time slicing. 3-covariance with momentum constraint is maintained, but the Hamiltonian constraint is replaced by a algebraic equation for the trace of the momentum. This reveals a very simple structure with a local reduced Hamiltonian. The theory is easily generalized; in particular, the square of the Cotton-York tensor density can be added as an extra part of the potential while at the same time maintaining the classic 2 + 2 degrees of freedom. Initial data construction is simple in the extended intrinsic time formulation; we get a generalized Lichnerowicz-York equation with nice existence and uniqueness properties. Adding standard matter fields is quite straightforward.

Original languageEnglish
Article number095016
JournalClassical and Quantum Gravity
Issue number9
Publication statusPublished - 2013 May 7

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)


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