1999
DOI: 10.1088/0264-9381/16/10/102
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Tensor mass and particle number peak at the same location in the scalar-tensor gravity boson star models - an analytical proof

Abstract: Recently in boson star models in framework of Brans-Dicke theory, three possible definitions of mass have been identified, all identical in general relativity, but different in scalar-tensor theories of gravity.It has been conjectured that it's the tensor mass which peaks, as a function of the central density, at the same location where the particle number takes its maximum.This is a very important property which is crucial for stability analysis via catastrophe theory. This conjecture has received some numeri… Show more

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Cited by 13 publications
(15 citation statements)
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“…with µ being the red-shifted chemical potential of the baryons. This relation can be derived using a procedure similar to those described in [12] and [16]. With the ralation (20) in mind we can conclude that the loci where the stability changes are lines in the (ψ c ,ρ c ) plane.…”
Section: A Theory Withmentioning
confidence: 99%
“…with µ being the red-shifted chemical potential of the baryons. This relation can be derived using a procedure similar to those described in [12] and [16]. With the ralation (20) in mind we can conclude that the loci where the stability changes are lines in the (ψ c ,ρ c ) plane.…”
Section: A Theory Withmentioning
confidence: 99%
“…In contrast with general relativity, the definition of mass in scalar-tensor theories of gravity is in general quite subtle because scalartensor theories violate in general the strong equivalence principle. This results in the appearance of different possible masses as a measure of the total energy of the star [43][44][45][46][47]. It turns out that only the so-called "tensor" mass has natural energy-like properties; for example the tensor mass is positive definite, it decreases monotonically by the emission of gravitational waves and it is well defined even for dynamical spacetimes [43][44][45].…”
Section: Basic Equationsmentioning
confidence: 99%
“…It turns out that only the so-called "tensor" mass has natural energy-like properties; for example the tensor mass is positive definite, it decreases monotonically by the emission of gravitational waves and it is well defined even for dynamical spacetimes [43][44][45]. Moreover, it is the tensor mass that leads to a physically acceptable picture in the theory of the stars -the tensor mass peaks at the same point as the particle number, which is a crucial property for the stability of the static stars [46,47]. Therefore, it is the tensor mass that should be taken as the physical mass 3 .…”
Section: Basic Equationsmentioning
confidence: 99%
“…For the Jordan frame, the proper mass in the FL of thermodynamics is the ADM mass in the Einstein frame M. Similarly, for boson and fermion stars the proper measure for the energy of the system is again the ADM mass in the Einstein frame M. For more details on the subject we would refer the reader to the works [47,48,49,50].…”
Section: Thermodynamicsmentioning
confidence: 99%