We study the black hole interiors in holographic Weyl semimetals and nodal line semimetals. find that singularities are of Kasner form. In topologically nontrivial phase at low temperature, both exponents metric fields proper time from horizon to singularity almost constant, likely reflecting topological nature also some specific behaviors inside each semimetal model.

The Weyl geometry promises potential applications in gravity and quantum mechanics. We study the relationships between geometry, entropy entanglement based on endowing Euclidean metric. give formulation of Ricci curvature scalar n-dimensional system. field plays a bridge role to connect curvature, entanglement. also Einstein–Weyl tensor generalized equation 3D vacuum case, which reveals relatio...

We study the quarter-symmetric metric A-connection on a cosymplectic manifold. Observing linearly independent curvature tensors with respect to A-connection, we construct Weyl projective tensor In this way, obtain new conditions for manifold be projectively flat. At end of paper, define η-Einstein manifolds θ-th kind and prove that they coincide

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are equivalent to a three dimensional gravitational theory with a SL(2, C)/SO(1, 1) sigma model as the material source. The sigma model is determined by a complex...

Binary black hole spacetimes with a helical Killing vector, which are discussed as an approximation for the early stage of a binary system, are studied in a projection formalism. In this setting the four dimensional Einstein equations are equivalent to a three dimensional gravitational theory with a SL(2, C)/SO(1, 1) sigma model as the material source. The sigma model is determined by a complex...

We review the issue of gauge and gravitational anomalies with backgrounds, offering a new outlook on some aspects of these questions. We compute the holographic anomalies of hypothetical theories dual, in the sense of the AdS-CFT correspondence, to Chern-Simons AdS gravity. Those anomalies are either gauge anomalies, associated to the AdS gauge group of the theory, or diffeomorphism anomalies, ...

It is shown how a metric structure can be induced in a simple way starting with a gauge structure and a preferred volume, by spontaneous symmetry breaking. A polynomial action, including coupling to matter, is constructed for the symmetric phase. It is argued that assuming a preferred volume, in the context of a metric theory, induces only a limited modi cation of the theory. x1 Attempts to Use...

We show that the Wess–Zumino action for spontaneously broken Weyl (or conformal) symmetry, a.k.a dilaton effective action, in even [Formula: see text] dimensions can be obtained from Kaluza–Klein dimensional reduction of Lovelock by taking limit, where is identified with metric extra dimension. The construction gives an explicit form any dimensions.

We present the recent results of a research project aimed at constructing a robust wave extraction technique for numerical relativity. Our procedure makes use of Weyl scalars to achieve wave extraction. It is well known that, with a correct choice of null tetrad, Weyl scalars are directly associated to physical properties of the space-time under analysis in some well understood way. In particul...