The Komar mass function in the de-Rham-Gabadadze-Tolley non-linear theory of massive gravity

Abstract

I derive the Komar mass/function for the Schwarszchild de-Sitter (S-dS) black-hole inside the dRGT non-linear theory of massive gravity by taking the usual notion of time-like Killing vector in unitary gauge. The dRGT Komar function depends on the dynamics of the Stückelberg fields through the gauge transformation function. It goes to the standard value obtained in General Relativity (GR) if the spatial derivative of the gauge function vanishes. In such a case, the (gauge) function corresponds to the usual notion of time as in GR.

arXiv commentVersion to appear in Physical Review D

References in corpus (39)

• Resummation of Massive Gravity
• Generalization of the Fierz-Pauli Action
• Nonlocal Cosmology
• An introduction to the Vainshtein mechanism
• Pair Creation of Black Holes During Inflation
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Analytic solutions in non-linear massive gravity
• Strong interactions and exact solutions in non-linear massive gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• On Black Holes in Massive Gravity
• Acausality of Massive Gravity
• Equatorial circular orbits in the Kerr-de Sitter spacetimes
• Hairy black holes in the ghost-free bigravity theory
• Nonlinear stability of cosmological solutions in massive gravity
• Evidence for and Obstructions to Non-Linear Partially Massless Gravity
• Observational Viability and Stability of Nonlocal Cosmology
• Scales Set by the Cosmological Constant
• Chronology Protection in Galileon Models and Massive Gravity
• Nonlocal metric formulations of MOND with sufficient lensing
• Nonlinear Partially Massless from Massive Gravity?
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Massive Gravity Acausality Redux
• Characterising Vainshtein Solutions in Massive Gravity
• A class of charged black hole solutions in massive (bi)gravity
• Stability of the Schwarzschild-de Sitter black hole in the dRGT massive gravity theory
• On the cosmology of massive gravity
• Mass function and particle creation in Schwarzschild-de Sitter spacetime
• Stability analysis of black holes in massive gravity: a unified treatment
• Covariant constraints for generic massive gravity and analysis of its characteristics
• Can a non-local model of gravity reproduce Dark Matter effects in agreement with MOND?
• An Analysis of Characteristics in Non-Linear Massive Gravity
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• No consistent bimetric gravity?
• Comparing two approaches to Hawking radiation of Schwarzschild-de Sitter black holes
• Black hole discharge in massive electrodynamics and black hole disappearance in massive gravity
• Non-Einstein source effects in massive gravity
• Spin-Spin Interactions in Massive Gravity and Higher Derivative Gravity Theories
• On Instability of Certain Bi-Metric and Massive-Gravity Theories
• Velocity and velocity bounds in static spherically symmetric metrics

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• On the apparent loss of predictability inside the de-Rham-Gabadadze-Tolley non-linear formulation of massive gravity: The Hawking radiation effect
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• Rotating black string in dRGT massive gravity
• The Black Hole Radiation in Massive Gravity
• The graviton Higgs mechanism
• Non linear massive gravity as a gravitational $\sigma$-model
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