The Black hole and FRW geometries of non-relativistic gravity

By A. Kehagias, K. Sfetsos. 2009

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Abstract We consider the recently proposed non-relativistic Hořava–Lifshitz four-dimensional theory of gravity. We study a particular limit of the theory which admits flat Minkowski vacuum and we discuss thoroughly the quadratic fluctuations around it. We find that there are two propagating polarizations of the metric. We then explicitly construct a spherically symmetric, asymptotically flat, black hole solution that represents the analog of the Schwarzschild solution of GR. We show that this theory has the same Newtonian and post-Newtonian limits as GR and thus, it passes the classical tests. We also consider homogeneous and isotropic cosmological solutions and we show that although the equations are identical with GR cosmology, the couplings are constrained by the observed primordial abundance of 4 He.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7e84856f83c67417235f67e980072d3250e9b64a

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Citations in the corpus

Modified Gravity and Cosmology (2011, background): “Solar system constraints on these theories are considered further in [643, 644, 645], based on the solutions presented in [684], and black holes are studied in [226, 227, 232].”
The black hole and cosmological solutions in IR modified Hořava gravity (2009, methodology): “Since then various aspects and solutions have been studied [3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29].”
Relativistic Quantum Gravity at a Lifshitz Point (2009, background): “the term quadratic in the Cotton tensor. In particular, by adding the term (4.6) to the action, one can extend the original non-relativistic detailed balance model of Hoˇrava (or the simpler model of [17]) to be invariant under the full diﬀeomorphism group. A four-dimensional covariant theory with t”
Gravitational lensing by black holes in the 4D Einstein-Gauss-Bonnet gravity (2020, methodology): “Furthermore, the semi-classical Einstein equations with conformal anomaly proportional to Euler density G [43, 44] and the 4D non-relativistic Horava-Lifshitz theory of gravity [45] also admit the identical spherically symmetric black hole solution.”
Strong coupling in Horava gravity (2009, background): “This was first illustrated in a study of static spherically symmetric solutions that did not recover the Schwarzschild geometry at large distances, unless detailed balance was broken [7, 8].”
Rotating black holes in 4D Einstein-Gauss-Bonnet gravity and its shadow (2020, background): “J C A P 0 7 ( 2 0 2 0 ) 0 5 3 Horava-Lifshitz theory of gravity [63] also admit the identical black hole solution as in eq.”
The 4D Einstein–Gauss–Bonnet theory of gravity: a review (2022, background): “Second, these 4DEGB black hole solutions are exactly the same as solutions that appear in other contexts, namely by considering gravity with a conformal anomaly [235, 236], entropy corrections to the black hole entropy [237] and more interestingly as a solution to the proposed UV completion of gravi”
Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry (2015, neutral): “[55, 56, 57]).”
Black Hole Remnants and the Information Loss Paradox (2014, background): “and for a choice of parameters for an asymptotically flat background, the solution becomes [155,156]”
Quantum gravity without Lorentz invariance (2009, neutral): “Early discussion regarding this model includes [4–36].”