Abstract
We define the form factors of the quark and gluon symmetric energy-momentum tensor (EMT). The static EMT is related to the spatial distributions of energy, spin, pressure and shear forces. They are obtained in the form of a multipole expansion. The relations between gravitational form factors and the generalised parton distributions are given.
Highlights
The gravitational form factors (GFFs) contain the information of the spatial distributions of energy, spin, pressure, and shear forces inside the system [1]
In the Breit frame, we find that matrix elements of energy-momentum tensor (EMT) can be expressed in terms of the multipole expansion for energy density, pressure, and shear forces distributions; see Sec
By considering the Mellin moments of the vector generalized parton distributions (GPDs), the sum rules between the GPDs and EMT FFs are found in Sec
Summary
The gravitational form factors (GFFs) contain the information of the spatial distributions of energy, spin, pressure, and shear forces inside the system [1]. The GFFs are defined through the matrix elements of the symmetric energy-momentum tensor (EMT). In the Breit frame, we find that matrix elements of EMT can be expressed in terms of the multipole expansion for energy density, pressure, and shear forces distributions; see Sec. III. Where g denotes the determinant of the metric (the signature of the metric we use is þ−−−) This procedure yields a symmetric Belinfante-Rosenfeld EMT.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
