151 citations · 1.2k across the 38 of their papers we have counts for
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Fermions on curved backgrounds of matrix models
Emmanuele Battista, Harold C. Steinacker
We discuss the propagation of fermions on generic, curved branes in IKKT-type matrix models. The Dirac operator can be understood either in terms of a Weitzenböck connection, or in…
Discontinuous normals in non-Euclidean geometries and two-dimensional gravity
Emmanuele Battista, Giampiero Esposito
This paper builds two detailed examples of generalized normal in non-Euclidean spaces, i.e. the hyperbolic and elliptic geometries. In the hyperbolic plane we define a n-sided hype…
First post-Newtonian -body problem in Einstein-Cartan theory with the Weyssenhoff fluid: equations of motion
Emmanuele Battista, Vittorio De Falco
We derive the equations of motion for an -body system in the Einstein-Cartan gravity theory at the first post-Newtonian order by exploiting the Weyssenhoff fluid as the spin mod…
On the propagation across the big bounce in an open quantum FLRW cosmology
Emmanuele Battista, Harold C. Steinacker
The propagation of a scalar field in an open FLRW bounce-type quantum spacetime is examined, which arises within the framework of the IKKT matrix theory. In the first part of the p…
Gravitational waves at the first post-Newtonian order with the Weyssenhoff fluid in Einstein-Cartan theory
Emmanuele Battista, Vittorio De Falco
The generation of gravitational waves from a post-Newtonian source endowed with a quantum spin, modeled by the Weyssenhoff fluid, is investigated in the context of Einstein-Cartan…
Geodesic motion in Euclidean Schwarzschild geometry
Emmanuele Battista, Giampiero Esposito
This paper performs a systematic investigation of geodesic motion in Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The explicit form of geodesic motio…