In this hypothetical universe where the speed of light \( c \) is proportional to the local gravitational field strength, the behavior of the laser pulse sent from a region of very weak gravity towards a massive black hole would be quite different from what we observe in our universe. Let's break down the journey of the laser pulse:

### Speed of Light
1. **Initial Region (Weak Gravity):**
   - The speed of light is slowest in regions of very weak gravity.
   
2. **Approaching the Black Hole:**
   - As the laser pulse moves towards the massive black hole, it enters regions of increasingly stronger gravitational fields.
   - Since the speed of light is proportional to the gravitational field strength, the speed of the laser pulse increases as it approaches the black hole.

3. **Near the Event Horizon:**
   - In regions extremely close to the event horizon, the gravitational field becomes extremely strong.
   - Consequently, the speed of light near the event horizon would be significantly higher than in the initial weak-gravity region.
   - However, the exact behavior at the event horizon would depend on the specific relationship between the speed of light and the gravitational field strength. If the proportionality leads to an infinite increase in speed as the gravitational field approaches infinity, the speed of light could theoretically approach infinity near the event horizon.

### Frequency of Light
1. **Doppler Effect:**
   - As the laser pulse travels through varying gravitational fields, the frequency of the light can change due to the Doppler effect.
   - If the laser pulse is moving away from an observer, the frequency decreases (redshift).
   - If the laser pulse is moving towards an observer, the frequency increases (blueshift).

2. **Gravitational Redshift:**
   - As the laser pulse moves into regions of stronger gravity, its frequency decreases (gravitational redshift).
   - This is because time slows down in stronger gravitational fields, causing the observed frequency to decrease.

### Trajectory of the Laser Pulse
1. **Curvature of Space-Time:**
   - Even though the speed of light changes with gravitational field strength, space-time curvature still plays a role.
   - The massive black hole will curve space-time around it, causing the laser pulse to follow a curved path.
   - The degree of curvature depends on the mass of the black hole and the distance from the black hole.

2. **Infalling Path:**
   - If the laser pulse is emitted directly towards the black hole, it will follow a highly curved path, potentially spiraling inward if it gets too close.
   - The increased speed of light in stronger gravitational fields may cause the laser pulse to "race" along this curved path more quickly compared to our universe.

3. **Event Horizon:**
   - As the laser pulse approaches the event horizon, it will experience extreme gravitational effects.
   - Depending on the specifics of the model, it might be possible for the laser pulse to cross the event horizon and continue traveling at an even higher speed inside the black hole.
   - Alternatively, if the speed of light cannot exceed a certain limit, the laser pulse might stop at the event horizon.

### Summary
- **Speed:** Increases as the laser pulse moves into regions of stronger gravity.
- **Frequency:** Decreases due to both the Doppler effect and gravitational redshift.
- **Trajectory:** Follows a curved path influenced by the black hole's gravitational field, potentially spiraling inward.

This scenario illustrates how altering fundamental constants like the speed of light can lead to drastically different physical phenomena, challenging our conventional understanding of light propagation in strong gravitational fields.