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T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
We ask the question of classical super (non-)Abelian T-duality for BTZ black hole metric coupling to two fermionic fields. Our approach is based on...
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Gravitational fields of axially symmetric compact objects in 5D space–time–matter gravity
In the standard Einstein’s theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a...
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Convolutional double copy in (anti) de Sitter space
The double copy is a remarkable relationship between gauge theory and gravity that has been explored in a number of contexts, most notably scattering...
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Weyl–invariant scalar–tensor gravities from purely metric theories
We describe a method to generate scalar–tensor theories with Weyl symmetry, starting from arbitrary purely metric higher derivative gravity theories....
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Liouville theory and the Weil-Petersson geometry of moduli space
Liouville theory describes the dynamics of surfaces with constant negative curvature and can be used to study the Weil-Petersson geometry of the...
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Evolution of Lifshitz metric anisotropies in Einstein–Proca theory under the Ricci–DeTurck flow
By starting from a Perelman entropy functional and considering the Ricci–DeTurck flow equations, we analyze the behavior of Einstein–Hilbert and...
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Metric-Axial-Tensor (MAT) Background
The program in this chapter is to generalize Bardeen’s setup of non-Abelian gauge theories to general theories in a generalized metric background in...
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Indefinite Metric and the Electromagnetic Field
One may say that the history of quantum field theory began with the quantization of the electromagnetic field. However, the electromagnetic field...
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Quasi-topological gravities on general spherically symmetric metric
In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the...
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On the topology of the space of coordination geometries
AbstractCoordination geometries describe the arrangement of the neighbours of a central particle. Such geometries can be thought to lie in an...
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Quantum reference frames for an indefinite metric
The current theories of quantum physics and general relativity on their own do not allow us to study situations in which the gravitational source is...
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Trace of the Resolvent of the Laplace Operator on a Metric Graph
AbstractIn the paper, using Krein’s resolvent formula, we find an asymptotics of the resolvent of the trace of the Laplace operator on a metric...
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Codazzi tensors and their space-times and Cotton gravity
We study the geometric properties of certain Codazzi tensors for their own sake, and for their appearance in the recent theory of Cotton gravity. We...
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Post-inflationary leptogenesis and dark matter production: metric versus Palatini formalism
We investigate production of non-thermal dark matter particles and heavy sterile neutrinos from inflaton during the reheating era, which is preceded...
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Minkowski Space from Quantum Mechanics
Penrose’s Spin Geometry Theorem is extended further, from SU (2) and E (3) (Euclidean) to E (1, 3) (Poincaré) invariant elementary quantum mechanical...
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The Jacobi metric approach for dynamical wormholes
We present the Jacobi metric formalism for dynamical wormholes. We show that in isotropic dynamical spacetimes , a first integral of the geodesic...
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Scale invariant Einstein-Cartan gravity and flat space conformal symmetry
We find the conditions under which scale-invariant Einstein-Cartan gravity with scalar matter fields leads to an approximate conformal invariance of...
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More Than Metric: Geometric Objects for Alternative Pictures of Gravity
In the previous discussions, we presented General Relativity as a theory essentially based on metric as the main object capable of being related to...
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A regular metric does not ensure the regularity of spacetime
In this paper we try to clarify that a regular metric can generate a singular spacetime. Our work focuses on a static and spherically symmetric...
