5 papers
Combining Symmetries and Helmholtz's Conditions to Construct Lagrangians
Merced Montesinos, Diego Gonzalez, Jorge Meza
We present new relations derived from Noether's identity that reveal the compatibility between the components of the Hessian matrix of the Lagrangian, the infinitesimal symmetry tr…
Classical and quantum trace-free Einstein cosmology
Merced Montesinos, Abdel Pérez-Lorenzana, Jorge Meza +1
Trace-free Einstein gravity, in the absence of matter fields and using the Friedmann-Robertson-Walker (FRW) metric, is solvable both classically and quantum mechanically. This is a…
Time-dependent quantum geometric tensor and some applications
Bogar DÃaz, Bogar Díaz, Diego Gonzalez +3
We define a time-dependent extension of the quantum geometric tensor to describe the geometry of the time-parameter space for a quantum state, by considering small variations in bo…
Trace-free Einstein gravity as two interacting constrained theories
Merced Montesinos, Diego Gonzalez
A theory of gravity alternative to general relativity is trace-free Einstein gravity, which has the remarkable property that the cosmological constant emerges as an integration con…
Trace-free Einstein gravity as a constrained bigravity theory
Merced Montesinos, Diego Gonzalez
Trace-free Einstein gravity is a prominent alternative to general relativity, which has two versions: one in which the energy-momentum conservation is assumed a priori and another…