1.1k citations · 4.1k across the 106 of their papers we have counts for
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Area-metric gravity revisited
Johanna N. Borissova, Bianca Dittrich, Kirill Krasnov
Area metrics are an intriguing generalization of length metrics which appears in several quantum-gravity approaches. We describe the space of diffeomorphism-invariant area-metric a…
Weyl Curvature Evolution System for GR
Kirill Krasnov, Adam Shaw
Starting from the chiral first-order pure connection formulation of General Relativity, we put the field equations of GR in a strikingly simple evolution system form. The two dynam…
Pure Lorentz spin connection theories and uniqueness of General Relativity
Kirill Krasnov, Ermis Mitsou
General Relativity can be reformulated as a diffeomorphism invariant gauge theory of the Lorentz group, with Lagrangian of the type , where is the curvature 2-for…
Deformations of GR, Geometrodynamics and Reality Conditions
Kirill Krasnov, Ermis Mitsou
In four dimensions complexified General Relativity (GR) can be non-trivially deformed: There exists an (infinite-parameter) set of modifications all having the same count of degree…
Isometries from gauge transformations
Ernesto Frodden, Kirill Krasnov
In four dimensions one can use the chiral part of the spin connection as the main object that encodes geometry. The metric is then recovered algebraically from the curvature of thi…
Pure-connection gravity and anisotropic singularities
Kirill Krasnov, Yuri Shtanov
In four space-time dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. They are most properly described by a connection field, with sp…
Field redefinitions and Plebanski formalism for GR
Kirill Krasnov
We point out that there exists a family of transformations acting on BF-type Lagrangians of gravity, with Lagrangians related by such a transformation corresponding to classically…
Deformations of GR and BH thermodynamics
Kirill Krasnov
In four space-time dimensions General Relativity can be non-trivially deformed. Deformed theories continue to describe two propagating degrees of freedom, as GR. We study Euclidean…
Asymptotically hyperbolic connections
Joel Fine, Yannick Herfray, Kirill Krasnov +1
General Relativity in 4 dimensions can be equivalently described as a dynamical theory of SO(3)-connections rather than metrics. We introduce the notion of asymptotically hyperboli…
Anisotropic singularities in chiral modified gravity
Yannick Herfray, Kirill Krasnov, Yuri Shtanov
In four space-time dimensions, there exists a special infinite-parameter family of chiral modified gravity theories. All these theories describe just two propagating polarizations…
New first order Lagrangian for General Relativity
Yannick Herfray, Kirill Krasnov
We describe a new BF-type first-order in derivatives Lagrangian for General Relativity. The Lagrangian depends on a connection field as well as a Lie-algebra valued two-form field,…
A Gauge Theoretic Approach to Gravity
Kirill Krasnov
Einstein's General Relativity (GR) is a dynamical theory of the spacetime metric. We describe an approach in which GR becomes an SU(2) gauge theory. We start at the linearised leve…
New Action Principle for General Relativity
Kirill Krasnov
General Relativity can be reformulated as a diffeomorphism invariant SU(2) gauge theory. A new action principle for this "pure connection" formulation of GR is described.
A Unified Theory of Non-Linear Electrodynamics and Gravity
Alexander Torres-Gomez, Kirill Krasnov, Carlos Scarinci
We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified).…
Metric Lagrangians with two propagating degrees of freedom
Kirill Krasnov
There exists a large class of generally covariant metric Lagrangians that contain only local terms and describe two propagating degrees of freedom. Trivial examples can be be obtai…
Gravity as BF theory plus potential
Kirill Krasnov
Spin foam models of quantum gravity are based on Plebanski's formulation of general relativity as a constrained BF theory. We give an alternative formulation of gravity as BF theor…
Black holes in full quantum gravity
Kirill Krasnov, Carlo Rovelli
Quantum black holes have been studied extensively in quantum gravity and string theory, using various semiclassical or background dependent approaches. We explore the possibility o…
Plebanski Formulation of General Relativity: A Practical Introduction
Kirill Krasnov
We give a pedagogical introduction into an old, but unfortunately not commonly known formulation of GR in terms of self-dual two-forms due to in particular Jerzy Plebanski. Our pre…
Motion of a "small body" in non-metric gravity
Kirill Krasnov
We describe "small bodies" in a non-metric gravity theory previously studied by this author. The main dynamical field of the theory is a certain triple of two-forms rather than the…
Plebanski gravity without the simplicity constraints
Kirill Krasnov
In Plebanski's self-dual formulation general relativity becomes SO(3) BF theory supplemented with the so-called simplicity (or metricity) constraints for the B-field. The main dyna…
Remarks on Barbero-Immirzi parameter as a field
Alexander Torres-Gomez, Kirill Krasnov
We revisit a propagating torsion gravity theory obtained by introducing a field coupled to the Holst term in the first-order Einstein-Cartan action. The resulting theory has second…
Hamiltonian Analysis of non-chiral Plebanski Theory and its Generalizations
Sergei Alexandrov, Kirill Krasnov
We consider non-chiral, full Lorentz group-based Plebanski formulation of general relativity in its version that utilizes the Lagrange multiplier field Phi with "internal" indices.…
Halos of Modified Gravity
Kirill Krasnov, Yuri Shtanov
We describe how a certain simple modification of general relativity, in which the local cosmological constant is allowed to depend on the space-time curvature, predicts the existen…
Non-metric gravity: A status report
Kirill Krasnov
We review the status of a certain (infinite) class of four-dimensional generally covariant theories propagating two degrees of freedom that are formulated without any direct mentio…