Equivalence of Hawking and Unruh Temperatures Through Flat Space Embeddings

We present a unified description of temperature in spaces with either "true" or "accelerated observer" horizons: In their (higher dimensional) global embedding Minkowski geometries, the relevant detectors have constant accelerations $a_{G}$, hence they measure the temperatures $a_{G}/2\pi$ associated with their Rindler horizons there. As one example of this equivalence, we obtain the temperature of Schwarzschild geometry from its flat D=6 embedding.