Some properties of the Noether charge and a proposal for dynamical black hole entropy.

  title={Some properties of the Noether charge and a proposal for dynamical black hole entropy.},
  author={Iyer and Wald},
  journal={Physical review. D, Particles and fields},
  volume={50 2},
  • IyerWald
  • Published 15 March 1994
  • Mathematics
  • Physical review. D, Particles and fields
We consider a general, classical theory of gravity with arbitrary matter fields in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian, $\bL$. We first show that $\bL$ always can be written in a ``manifestly covariant" form. We then show that the symplectic potential current $(n-1)$-form, $\th$, and the symplectic current $(n-1)$-form, $\om$, for the theory always can be globally defined in a covariant manner. Associated with any infinitesimal diffeomorphism is a Noether current… 

Noether's theorems and conserved currents in gauge theories in the presence of fixed fields

We extend the standard construction of conserved currents for matter fields in general relativity to general gauge theories. In the original construction the conserved current associated with a

Large gauge symmetries of an asymptotically de Sitter horizon: An extended first law of thermodynamics

In this paper, we show that a universe with a dynamical cosmological constant approaching pure de Sitter at timelike infinity, enjoys an infinite dimensional symmetry group at its horizon. This group

Geometric aspects of covariant Wick rotation.

We discuss some generic geometric properties of metrics ${\hat g}_{ab}$ constructed from Lorentzian metric $g_{ab}$ and a nowhere vanishing, hypersurface orthogonal, timelike direction field $u^a$.

Noether currents and charges for Maxwell-like Lagrangians

The Hilbert–Noether theorem states that a current associated with diffeomorphism invariance of a Lagrangian vanishes on shell modulo a divergence of an arbitrary superpotential. Application of the

The $\Lambda$-BMS$_4$ Charge Algebra

The surface charge algebra of generic asymptotically locally (A)dS$_4$ spacetimes without matter is derived without assuming any boundary conditions. Surface charges associated with Weyl rescalings

Functional determinants, index theorems, and exact quantum black hole entropy

A bstractThe exact quantum entropy of BPS black holes can be evaluated using localization in supergravity. An important ingredient in this program, that has been lacking so far, is the one-loop

Conserved charge of a gravity theory with $p$-form gauge fields and its property under Kaluza-Klein reduction

In this paper, we investigate the conserved charges of generally diffeomorphism invariant gravity theories with a wide variety of matter fields, particularly of the theories with multiple scalar

Quasilocal first law of black hole dynamics from local Lorentz transformations

Quasilocal formulations of black hole are of immense importance since they reveal the essential and minimal assumptions required for a consistent description of black hole horizon, without relying on

Stability of Black Holes and Black Branes

We establish a new criterion for the dynamical stability of black holes in D ≥ 4 spacetime dimensions in general relativity with respect to axisymmetric perturbations: Dynamical stability is

Quantum black hole entropy and the holomorphic prepotential of $ \mathcal{N}=2 $ supergravity

A bstractSupersymmetric terms in the effective action of $ \mathcal{N}=2 $ supergravity in four dimensions are generically classified into chiral-superspace integrals and full-superspace integrals.



First law of black hole mechanics in

The first law of black hole mechanics is derived from the EinsteinMaxwell Lagrangian by comparing two infinitesimally nearby stationary black holes. With similar arguments, the first law of black

Classical theory of fields

The principle of relativity Relativistic mechanics Electromagnetic fields Electromagnetic waves The propagation of light The field of moving charges Radiation of electromagnetic waves Particle in a

J. Math. Phys

  • J. Math. Phys
  • 1990

We wish to thank R. Myers and T. Jacobson for bringing this issue to our attention

    Proc. Roy. Soc. Lond. A428

    • Proc. Roy. Soc. Lond. A428
    • 1990

    Rev. D47

    • Rev. D47
    • 1407

    Phys. Rev. Lett

    • Phys. Rev. Lett
    • 1993

    Differential Invariants of Generalised Spaces

    • Cambridge University Press
    • 1934

    A. Ashtekar and A

    • Magnon J. Math. Phys
    • 1979

    The main results of this reference also can be derived using the “ free variational bicomplex ” ; see I . M . Anderson in Mathematical Aspects of Classical Field Theory