In pure Lovelock gravity, the large-surface limit of the variation of Brown-York quasi-local energy equals the variation of the ADM mass, giving an explicit new mass formula.
A discerning gravitational property for gravitational equation in higher dimensions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
It is well-known that Einstein gravity is kinematic (no non-trivial vacuum solution;i.e. Riemann vanishes whenever Ricci does so) in $3$ dimension because Riemann is entirely given in terms of Ricci. Could this property be universalized for all odd dimensions in a generalized theory? The answer is yes, and this property uniquely singles out pure Lovelock (it has only one $N$th order term in action) gravity for which $N$th order Lovelock Riemann tensor is indeed given in terms of corresponding Ricci for all odd $d=2N+1$ dimensions. This feature of gravity is realized only in higher dimensions and it uniquely picks out pure Lovelock gravity from all other generalizations of Einstein gravity. It serves as a good discerning and guiding criterion for gravitational equation in higher dimensions.
fields
gr-qc 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Quasi-local energy and ADM mass in pure Lovelock gravity
In pure Lovelock gravity, the large-surface limit of the variation of Brown-York quasi-local energy equals the variation of the ADM mass, giving an explicit new mass formula.