Potentials in Energy Momentum Tensor and the Equation of State

Physics – General Physics

Scientific paper

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10 pages, no figure

Scientific paper

The energy momentum tensor of the perfect fluid is a simplified but successful model of wide practical use in astrophysics. In the previous researches, some important information such as the self-energy of the interaction of the particles and influence of the gravitational potential are usually ignored or introduced phenomenologically. In this letter, the analysis and calculation show that, the interactive potentials of the particles can be described by introducing an extra potential $W$, which acts like negative pressure. For the gases in a star, the state functions are strongly influenced by the gravitational potential, and only the temperature $T$ is independent variable, but the other state functions such as mass-energy density $\rho$ and pressure $P$ can be expressed as simple functions of $T$. These relations can provide some new insights into the dynamical behavior and structure of a star.

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