Go to previous page Go up Go to next page

13 Applications in General Relativity

In this part we give a very short review of some of the potential applications of the paradigm of quasi-locality in general relativity. This part of the review is far from being complete, and our claim here is not to discuss the problems considered in detail, but rather to give a collection of problems that are (effectively or potentially) related to quasi-local ideas, tools, notions, etc. In some of these problems the various quasi-local expressions and techniques have been used successfully, but others may provide new and promising areas of their application.


 13.1 Calculation of tidal heating
 13.2 Geometric inequalities for black holes
  13.2.1 On the Penrose inequality
  13.2.2 On the hoop conjecture
 13.3 Quasi-local laws of black hole dynamics
  13.3.1 Quasi-local thermodynamics of black holes
  13.3.2 On the isolated horizons
 13.4 Entropy bounds
  13.4.1 On Bekenstein’s bounds for the entropy
  13.4.2 On the holographic hypothesis
 13.5 Quasi-local radiative modes of GR

  Go to previous page Go up Go to next page